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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: Twelve years ago, mother was seven times as old as her daughter. Their present ages are in the ratio of 5:2. Find their present ages.
mother is 25 years and daughter is 10
mother is 30 years and daughter is 12
mother is 40 years and daughter is 16

Q 2: Cathy is 9 years older than Nancy. Mallory is 1 year younger than twice Nancy's age. Together, their ages add up to 80. How old is Mallory? (Hint: c = n + 9, m= 2n-1, c+n+m = 80, m=?)
24
18
35

Question 3: This question is available to subscribers only!

Question 4: This question is available to subscribers only!


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