Problem Solving

The difference between two whole numbers is 66.The ratio of two numbers is 2:5.What is the sum of two numbers?

• 154

• 144

• 164

• 146

If 3 is subtracted from seven times a number, the result is 53. Find the number.

• 7

• 8

• 9

• 10

Father’s age is three times his son’s age. Four years ago, he was 4 times his son’s age. Find their present ages.

• 10 years, 26 years

• 12 years, 38 years

• 12 years, 36 years

• 15 years, 35 years

When five is added to three more than a certain number, the result is 19. What is the number?

• 11

• 12

• 13

• 14

Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castel can dig the same hole in six hours. How long would it take them if they worked together?

• 2.6 hours

• 2.25 hours

• 2.5 hours

• 2.73 hours

A person deposits $5,000 in a bank account which pays 6% simple interest per year. Find the value of his deposit after 4 years.

• $5,200

• $6,200

• $8,000

• $3,200

A boy is 10 years older than his brother. In 4 years he will be twice as old as his brother. Find the present age of each.

• 6, 18

• 7, 20

• 6, 16

• 8, 22

Five times a number increased by seven is equal to forty-seven. What is the number?

• 8

• 9

• 10

• 12

It takes Trevon ten hours to clean an attic. Cody can clean the same attic in seven hours. Find how long it would take them if they worked together.

• 4.12 hours

• 4.15 hours

• 5.12 hours

• 4.16 hours

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50