The product of the present ages of Rina and Mina is 1500 years. The ratio of their present ages is 5 : 3. What is the difference of their present ages?

Question: The product of the present ages of Rina and Mina is 1500 years. The ratio of their present ages is 5 : 3. What is the difference of their present ages?

Solution:
Let,
the present age of Rina be 5x and the present age of Mina be 3x

ATQ,
5x × 3x = 1500
⇒ 15x² = 1500
⇒ x² = 100
∴ x = 10

∴ the present ages of Rina = (5 × 10) = 50 years
∴ the present ages of Mina = (3 × 10) = 30 years

So, the difference of their present ages = (50 - 30) = 20 years