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Online Quiz (Worksheet A B C D)

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Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
3.11 Word Problems - Age - 3

Example:
Sue is 8 and two-third years older than Jill. The sum of their ages is 23 years. How old is Jill?
Solution:
Let 's' stand for Sue's age and 'j' stand for Jill's age.
Sue is 8 and two-third years older than Jill: s = 8 + (2/3)j
The sum of their ages is 23 years: s + j = 23 that means s = 23-j
s = 8 + (2/3)j substitute s = 23-j
23-j = 8 + (2/3)j
23 - 8 = j + (2/3)j
15 = (5/3)j
3 = (1/3)j
3 = j/3
j = 9 year old
s = 23 - j = 23 - 9 = 14
Jill is 9 years old and Sue is 14 years old.

Example:
Bob is three years older than Sally. The sum of the ages of Bob and Sally is seven. How old is Bob?
Solution:
Let 'b' stand for Bob's age and 's' stand for Sally's age.
Bob is three years older than Sally: b = s + 3
The sum of the ages of Bob and Sally is seven: b + s = 7
s + 3 + s = 7
2s + 3 = 7
2s = 7-3
2s = 4
s = 2
b = s+3 = s +3 = 5
Bob is 5 years old.

Example:
Three times Sally's age five years ago is same as sixty less than six times her current age. How old is Sally?
Solution:
Let 's' be Sally's present age. Three years ago Sally's age is s - 3
3(s-5) = 6s - 60
3s-15 = 6s - 60
60-15 = 6s - 3s
45 = 3s
s = 45/3
s = 15

Directions: Solve the following word problems.
Q 1: Phil is 5 years older than Jill. Mary is 11 years younger than twice Jill's age. If their combined ages add up to 62. How old is Mary? (Hint: p= j+5, m=2j-11, p+j+m = 62, m=?)
23 years
22 years
20 years

Q 2: If father is four times as old as his son. 5 years ago, he was seven times as old as his son was then. Find their ages.
son is 5 years and father is 25 years
son is 10 years and father is 40 years
son is 8 years and father is 32 years

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Question 4: This question is available to subscribers only!


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