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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
3.12 Word Problems - Age - 4

Example:
Mike is 7 years younger than Jill. Together, there ages add up to 19. Find both their ages.
Solution:
Let x = Jill's age
Then x - 7 = Mike's age
Their ages add up to 19
x + (x-7) = 19
x + x - 7 = 19
2x - 7 = 19
2x - 7 + 7 = 19 + 7
2x = 26
x = 13
x - 7 = 13 - 7 = 6
Verification: x + (x-7) = 13 + (13-7) = 13 + 6 = 19
Jill is 13 and Mike is 6 year old.

Example:
Harold's age is four times the sum of the ages of his two daughters. Six years hence, his age will be double the sum of their ages. Find Harold's age.
Solution:
Let the sum of the ages of his two daughter be 'x' years.
Harold's age = 4x
Six years hence, the sum of the ages of the two daughters = x + 6 + 6
= x + 12
Harold's age = 4x + 6
4x + 6 = 2(x + 12)
4x + 6 = 2x + 24
2x = 24 - 6 = 18
x = 9.
Harold's age = 4x = 36 years

Directions: Solve the following word problems.
Q 1: Ben's age is three times Molly's. If 20 is added to Molly's age and 20 is subtracted from Ben's, their ages will be equal. How old is each now?
Molly's age is 20 and Ben's age is 80
Molly's age is 20 and Ben's age is 60
Molly's age is 30 and Ben's age is 60

Q 2: Sam's age in 20 years will be the same as Tim's age is now. Ten years from now, Tim's age will be twice Sam's. What are their present ages?
Tim's age is 40 and Sam's age is 20
Tim's age is 20 and Sam's age is 10
Tim's age is 30 and Sam's age is 10

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Question 4: This question is available to subscribers only!


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