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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 30 and Ben's age is 60
Molly's age is 20 and Ben's age is 60
Molly's age is 20 and Ben's age is 80

Q 2: Mrs. Smith is twice as old as her daughter Sue. Ten years ago the sum of their ages was 46 years. How old is Mrs. Smith?
Sue is 11 and Mrs. Smith is 44
Sue is 33 and Mrs. Smith is 44
Sue is 22 and Mrs. Smith is 44

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Question 4: This question is available to subscribers only!


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