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?

• A. 15 years
• B. 20 years
• C. 18 years
• D. 25 years

Hint:

Use algebra to solve word problems by defining variables for unknown quantities and setting up equations.

Answer 1

The Correct Option is A

Let the son's age be \( x \) years. The father's age is \( 3x \) years, as he is thrice the son's age. Their combined age is 60 years, leading to the equation: \[ x + 3x = 60 \] Simplifying, we get: \[ 4x = 60 \] Solving for \( x \): \[ x = 15 \] Consequently, the son is 15 years old. This corresponds to option (1).