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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
2.8 Word Problems - Age

1. Read the problem carefully and note down what is given and what is required.
2. Select a letter say x or y or z to represent the unknown quantity asked for.
3. Represent the word statements of the problems in the symbolic language step by step.
4. Look for quantities which are equal as per conditions given and form an equation.
5. Solve the equation.
6. Verify the result for making sure that your answer satisfies the requirements of the problems.

Five years ago the age of a father was twice the age of his son. The sum of their present ages is 55 years. Find their present ages.
The age of the father, 5 years ago = x years
Age of the father 5 years ago = 2x years
Present ages of son and father respectively are (x+5) years and (2x+5)years.
Given that, sum of their present ages = 55 years
Therefore (x+5)+(2x+5) = 55
3x + 10 = 55
3x = 55 - 45
3x = 45
x = 45/3
x = 15

Present age of son = x + 5 = 15 + 5 = 20 years
Present age of father = 2x + 5 = 2*15 + 5 = 30 + 5 = 35 years
The sum of their present ages = 20 + 35 = 55 years.

Directions: Solve the following word problems. Also write at least ten word problem examples of your own.
Q 1: The present age of Peter is one sixth the age of Dan. 5 years later the sum of their ages will be 45 years. Find their present ages.
30 years and 5 years respectively
26 years and 5 years respectively
25 years and 6 years respectively
20 years and 8 years respectively

Q 2: The present age of Nancy is one fourth that of her mother Christina. 20 years later the age of Nancy will be half the age of her mother. Find their present age.
Nancy 15 years Christina 30 years
Nancy 10 years Christina 40 years
Nancy 15 years Christina 35 years
Nancy 10 years Christina 20 years

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Question 4: This question is available to subscribers only!

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