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Questions Per Quiz = 2 4 6 8 10

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: Pat is 39 years old. She is 1 year less than twice Mike's age. How old is Mike? (Hint: p = 39, p=2m-1 find m = ?)
22
18
20

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)
6
7
8

Q 3: Bob is twice Greg's age. Larry is 5 years older than Greg. If their combined ages is equal to 61, how old is each? (Hint: b=2g, l=g+5, b+g+l = 61 solve for b, g and l)
Greg is 13, Bob is 30 and Larry is 18
Greg is 14, Bob is 28 and Larry is 19
Greg is 15, Bob is 30 and Larry is 20

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)
16
32
28

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Question 6: This question is available to subscribers only!


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