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

Example:
If Leslie is 5 years older than Wilma and Wilma is 16 years old, how old is Leslie?
Solution:
Let 'w' stand for Wilma's age and let 'l' stand for Leslie's age
Given: w = 16
Leslie is 5 years older than Wilma: l = w + 5 = 16 + 5 = 21

Example:
Susan is sixteen years older than Bob, and next year she will be twice as old as Bob. How old are they now?
Solution:
Let 's' stand for Susan's present age and 'b' stand for Bob's present age
Susan is ten years older than Bob, the equation can be written as s = 10 + b
Next year Susan will be s+1 years and Bob will be b + 1 years
"next year Susan will be twice as old as Bob" can be written in equation form as s + 1 = 2 (b + 1)
solving both equations
s = 16 + b
s + 1 = 2 (b + 1)
16 + b + 1 = 2 (b + 1)
b + 17 = 2 b + 2
17 - 2 = 2 b - b
17 - 2 = 2 b - b
15 = b
s = 16 + b = 16 + 15 = 31
Bob is 15 years and Susan is 31 years of age.

Directions: Solve the following word problems. First write the equation and then solve.
Q 1: Dan is 40 years old. If he is 4 years older than three times Mary's age, how old is Mary? (Hint: d = 40, d = 3m + 4 find m=?)
10
12
13

Q 2: Sally is 4 years older than three times Dan's age. If Sally is 28 years old, how old is Dan? (Hint: s = 3d+4, s=28 find d)
8
7
6

Q 3: Harry is 12 years older then Mike. Together their ages add up to 48. How old is each? (Hint: Let h = Harry's age and m=Mikes age, Harry is 12 years older than mike: h = m + 12, together their ages sum to 48: h + m = 48, solve for h and m)
Mikes age is 20 and Harry's age is 32.
Mikes age is 18 and Harry's age is 30.
Mikes age is 16 and Harry's age is 28.

Q 4: Greg is twice as old as Jason. Together, their ages add up to 48. How old is Greg? (Hint: Let j = Jason's age and g = Greg's age, Greg is twice as old as Jason: g = 2j, together their ages add up to 48: g + j = 48 solve for g)
28
16
32

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Question 6: This question is available to subscribers only!


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