The product of Ramu’s age (in years) five years ago and his age (in years) nine years later is 15. Determine Ramu’s present age.

Question

The product of Ramu&#x2019;s age (in years) five years ago and his age (in years) nine years later is 15. Determine Ramu&#x2019;s present age.

Philoid · Accepted Answer

Let the present age of Ramu be ‘a’ years.

Given, product of Ramu’s age (in years) five years ago and his age (in years) nine years later is 15.

⇒ (a – 5)(a + 9) = 15

⇒ a² + 4a – 45 – 15 = 0

⇒ a² + 10a – 6a – 60 = 0

⇒ a(a + 10) – 6(a + 10) = 0

⇒ (a – 6)(a + 10) = 0

⇒ a = 6 years