Question:
The present age of father is four times the age of his son. Five years hence the age of father will be three times the age of his son. Then the present age of the son, in years, is
The present age of father is four times the age of his son. Five years hence the age of father will be three times the age of his son. Then the present age of the son, in years, is
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In age problems, carefully distinguish present and future values before forming equations.
Updated On: Jul 15, 2026
- \(11\)
- \(12\)
- \(10\)
- \(9\)
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The Correct Option is C
Solution and Explanation
Concept:
Form equations using present and future ages.
Step 1: Assume son’s present age.
Let son’s present age be: \[ x \] Then father’s present age: \[ 4x \]
Step 2: Use future condition.
After 5 years: Son’s age: \[ x+5 \] Father’s age: \[ 4x+5 \] Given: \[ 4x+5=3(x+5) \]
Step 3: Solve.
\[ 4x+5=3x+15 \] \[ x=10 \] Thus, the present age of the son is: \[ \boxed{10} \]
Step 1: Assume son’s present age.
Let son’s present age be: \[ x \] Then father’s present age: \[ 4x \]
Step 2: Use future condition.
After 5 years: Son’s age: \[ x+5 \] Father’s age: \[ 4x+5 \] Given: \[ 4x+5=3(x+5) \]
Step 3: Solve.
\[ 4x+5=3x+15 \] \[ x=10 \] Thus, the present age of the son is: \[ \boxed{10} \]
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