Question

Three years ago, the product of the ages of P and Q is 1728 and the age of Q was three times the age of P's age. Find the age of P.
1. 24 years
2. 27 years
3. 35 years
4. 40 years

Answer 1

Correct Answer - Option 1 : 24 years

Given

Three years ago Q's age was 3 times the age of P

Calculation

Let the three years ago, P's age was x year's

And Q's age was 3x years

(x ) × (3x) = 1728

3x² = 1728

x² = 576

x = 24

P's age was 24 years.