SOLVING WORD PROBLEMS INVOLVING AGES WORKSHEET

Problem 1 :

In 8 years Jamie will be three times as old as she is now. How old is she now?

Solution

Problem 2 :

Mattie is twice as old as Pat. Jon is twice as old as Mattie. In 4 years the sum of their ages will be 61. How old is each person?

Solution

Problem 3 :

The difference between Jon’s age and Sue’s age is 18 years. If Jon is six years more than five times Sue’s age, how old is each person?

Solution

Problem 4 :

The Smith family has a set of triplets and a set of twins. If the triplets are four years younger than the twins, and the sum of their ages is 68, how old are the triplets?

Solution

Problem 5 :

Jamie is 3 years less than three times Jessie’s age. In five years the sum of their ages will be 59. How old are they now?

Solution

Problem 6 :

In five years the sum of Don’s and Dan’s ages will be 34. Don’s age now is 8 years less than three times Dan’s age. How old is Don?

Solution

Problem 7 :

The total of the ages of three students is 38. If the youngest student is 7 years younger than the oldest student, and the middle student is 4 years older than the youngest student, how old is each student?

Solution

Problem 8 :

A man is 35 years old, and his son is 7 years old. In how many years will the father be 3 times as old as his son will be then?

Solution

Problem 9 :

Jan has 6 more dimes than quarters. If the value of the dimes is the same as the value of the quarters, how many dimes and quarters does Jan have?

Solution

Problem 10 :

I have 7 more nickels than dimes. If the value of the nickels and dimes is the same, how many of each coin do I have?

Solution

Problem 11 :

Alex broke open his piggy bank. He had 30 more dimes than nickels and 8 more quarters than nickels. The value of the quarters is exactly the same as the value of the sum of the dimes and nickels. How many of each coin does Alex have?

Solution

Answer Key

1) 4 years

2)  Pat's age = 7 years, Mattie's age = 14 years, Jon's age = 28 years

3)  Sue's age = 3 years, Jon's age = 21 years

4) 12 years

5)  Jessie's age = 13 years, Jamie's age = 36 years

6) Dan's age = 8 years, Don's age = 16 years

7)  youngest student is 9 years

the oldest student = 16 years old

the middle student = 13 years old.

8) 7 years

9)  quarter = 4, Dimes = 10

10)  Number of dimes = 7, Number of nickels = 14

11) 10 nickels, 40 dimes and 18 quarters.

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