Question:
The sum of the ages of a father and his son is 60 years. The father is three times as old as the son. What is the son's age?
The sum of the ages of a father and his son is 60 years. The father is three times as old as the son. What is the son's age?
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Use algebra to solve word problems by defining variables for unknown quantities and setting up equations.
Updated On: Apr 22, 2025
- 15 years
- 20 years
- 18 years
- 25 years
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The Correct Option is A
Solution and Explanation
Let the age of the son be \( x \) years.
The father's age is \( 3x \) years (since the father is three times as old as the son).
The sum of their ages is 60 years, so:
\[
x + 3x = 60
\]
\[
4x = 60
\]
\[
x = 15
\]
Thus, the son's age is 15 years. Therefore, the correct answer is option (1).
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