Three more than a certain number gives 21. What is the number?

When a certain number is decreased by 7, the result is 5. Find the number.

When 5 is decreased by the product of 4 and a certain number, the result is the same as twice that number subtracted from 17. Find the number.

Five more than a certain number is equal to 5 times the difference obtained when 3 is subtracted from the number. Find the number.

When ten times a certain number is decreased by twice the difference when 1 is subtracted from the number, the result is 58. What is the number?

Four times the difference obtained when twice a certain number is decreased by 3 yields 27 more than 5 times that number. What is the number?

Find three consecutive integers whose sum is 54.

Find four consecutive odd integers whose sum is 112.

When the sum of a certain number and 6 is subtracted from 15, the result is 3. What is the number?

96 is 37 less than a certain integer. Find the integer.

A rectangle's length is three times its width. If the perimeter is 56 meters, what are the dimensions of the rectangle?

The length of a rectangle is 6 less than four times its width. If the perimeter of the rectangle is 38 meters, what is the length of the rectangle?

Two numbers differ by 20. If twice the larger number is subtracted from 4 times the smaller, the result is 20 less than 6 times the smaller. What is the larger number?

Two numbers add up to 45. If the smaller number is diminished by 7, and the difference is doubled, the result is 7 more than the other number. What is the larger number?

In three consecutive even integers, one half of the first is three more than one fourth of the third integer. What are the three integers?

Two numbers differ by 13. Twice the smaller number increased by the bigger number gives 49. What is the larger number?

The length of a rectangle is 4 meters more than its width. If the perimeter of the rectangle is 40 meters, what is the length of the rectangle?

If a number is multiplied by 5 and then decreased by 12, the result is 18. What is the number?

A number is tripled and then increased by 9 to give 30. What is the number?

The sum of a number and its double is 36. What is the number?

If the width of a rectangle is 2 less than one-third the length and the perimeter is 60 cm, what is the length of the rectangle?

Carlo has a number of 25 centavo coins in his pocket. If the number of coins were tripled and diminished by 5, he would have P5.50. How many coins does Carlo have?

The perimeter of a rectangle is 20 meters. If the width is one-fifth the sum of 4 and the length, what is 2 meters less than the width?

Jenny's partner said if she subtracted 5 from his age and multiplied the difference by 4, he would get his age plus twice the day's date. If the day's date is 14, how old is Jenny's partner?

Cory said that seven times his lucky number diminished by twice the difference when 2 is subtracted from it equals 19. What is Cory's lucky number?

The ages of Cris and his younger cousin differ by 13 years. If twice the younger cousin’s age increased by Cris's age gives 49, how old is Cris?

In a certain campus, 157 students participated in a Softdrink Challenge Survey. The number of A+ Cola drinkers was thrice the number of Super Cola drinkers decreased by 3. How many A+ Cola drinkers were there?

Max said, 'If you increase one-half of my earnings by P30.00, you will obtain three-fourths of my earnings.' How much did he earn?

Mrs. Ong is 40 years older than her twin daughters. She is also three times the combined ages of the twins. How old are the twins?

The combination of Gaby's lock is made up of three consecutive odd integers. If three times the third integer decreased by twice the sum of the first two integers equals the second integer, what are the numbers in Gaby's combination?

If Andie is currently twice as old as Steven, and ten years ago Andie was three times as old as Steven, what is Steven's current age?

In a two-digit number, the unit’s digit is one less than twice the ten’s digit. If twice the number is 5 less than 9 times the sum of the digits, what is the original number?

The sum of the digits of a certain two-digit number is 10. If the digits are reversed, a new number is formed. The new number is one less than twice the original number. What is the original number?

A father is 32 years old and his daughter is 2 years old. He is now 16 times as old as his daughter. In how many years will he be only four times as old?

The sum of the digits of a two-digit number is 8. The number exceeds 17 times the unit’s digit by 2. What is the number?

John is now three times as old as his brother Richie. In 5 years, John will be twice as old as Richie will be. What will their ages be then?

Andrew is 25 years older than Bobby. In 15 years, Andrew will be twice as old as Bobby will be. What are their present ages?

The sum of the digits of a two-digit number is 12. If the digits are reversed, the new number is 39 less than twice the original number. What is the original number?

In a three-digit number, the hundred's and ten's digits are the same. The unit's digit is 3 more than the hundred's digit. If the number is reversed, the new number is 72 more than twice the original number. What is the original number?

The sum of the digits of a certain two-digit number is 9. If the digits are reversed, the new number is 27 less than twice the original number. What is the original number?

Two investments total P6000. One is at an 8% interest rate and the other at a 7.5% interest rate. If the total income from both investments is P464, how much was invested at the 7.5% rate?

Mr. Wan invested P18000, with part at 8% and another part at 10%. If the income from the 10% investment is P360 more than from the 8% investment, how much was invested at the 8% rate?

A florist sold roses for P100 per dozen and daisies for P75 per dozen. If he sold a total of 14 dozens and earned P1150, how many dozens of daisies did he sell?

The Children's Theater sold 976 tickets at prices of P5 and P10. If the total revenue was P5630, how many P10 tickets were sold?

A messenger spent P2995 on mailing letters using P2.50 and P4.50 stamps. If a total of 910 letters were sent, how many P4.50 stamps were used?

Felix has P400 in P5, P10, and P20 bills. The number of P5 bills is twice the number of P10 bills, and the number of P20 bills is 6 less than the number of P10 bills. How many P10 bills does he have?

How should P20,000 be divided between a 4% savings account and a 7% investment fund to yield a total return of 6%?

A total of 478 tickets were sold for a movie premiere at P85 for adults and P50 for children. If the total revenue was P31,775, how many children's tickets were sold?

Part of P25,000 is invested at 5% and the remainder at 9%. If the total interest earned in one year is P1,750, how much was invested at 9%?

A store sold 300 items for a total of P4,500. If the price of item A is P15 and the price of item B is P20, how many of item A were sold?

A merchant made a mixture of 2 types of coffee, one worth P2 per kilo and the other P2.50 per kilo. He made 50 kilos of the mixture. How many kilos of the P2 coffee did he blend?

In a certain triangle, two angles differ by 10 degrees and the third angle is 30 degrees less than twice the sum of the first two angles. What is the measurement of the largest angle?

Two cars 400 miles apart travel toward each other. One car travels at a rate of 48 mph and the other car at 32 mph. In how many hours will they meet?

The base of an isosceles triangle is half as long as any of its congruent sides. If the perimeter of the triangle is 50 cm, what is the length of the base?

Jake mixes chewies worth P2 per gram and jelly beans worth P3 per gram to make a mixture of 30 grams. What is the amount of jelly beans he needs in the mixture if he sells it at P2.50 per gram?

How much water must be added to 1 gallon of alcohol to obtain a solution which is 18% alcohol?

A radiator that holds 16 quarts is full of a solution of 30% alcohol. How much of this solution must be drawn off and replaced with pure alcohol in order that the contents of the radiator may be 55% alcohol?

How many gallons of water must be evaporated from 100 gallons of 75% salt solution to increase the concentration to 90%?

The length of a rectangle is 3 times its width. If the length is decreased by 4 inches and the width is doubled, the perimeter remains the same. What is the area of the new rectangle?

Louie and Roy start from home and travel in opposite directions. Louie travels twice as fast as Roy does. In 4 hours they are 150 miles apart. What is the rate of Louie?

A freight train travelling at an average rate of 30 mph is followed 2 hours later from the same station by a passenger train travelling at an average rate of 50 mph. How many hours after the passenger train leaves will it pass the freight train?

A swimming pool can be filled by a pipe in 6 hours and it requires 9 hours to drain it. If the drain was accidentally left open for 6 hours while the pool was being filled, how long did it take to fill the pool?

A glider can cover 260 kilometers in 4 hours without the wind. How many hours can he cover the same distance if he experiences a tailwind of 15 kph?

Mang Lito can paint a house in 10 days. Mang Erning can paint the same house in 12 days. How long will it take to paint the house if both men work together?

One pipe can fill a swimming pool in 6 hours while it takes another pipe 10 hours to do the same thing. If the pool is 1/3 full when both pipes are opened, how long will it take the two pipes to fill the pool?

A cyclist had been travelling 15 miles an hour for 8 hours when he was overtaken by a motorist who had left the same starting point 5 hours after the cyclist. Find the speed of the motorist.

A boat has a normal speed of 50 kph. Going downstream, he can cover in two hours the distance that he can cover in 3 hours if he goes upstream. What is the speed of the water current?

The wind is blowing at 5 kph. A runner can cover 70 kms with a tailwind. However, if the wind is against him, he can cover only 50 kms in the same time. What is the speed of the runner?

Gerry can mow the lawn in an hour. Edwin can do the same job in 80 minutes. If they use two lawn mowers, how long will it take them, working together, to mow the lawn?

A group of workers can do a job in 8 days. After this group has worked for 3 days, another group joins in, and together they complete the job in three more days. How long could the second group have done the job alone?