Six years ago Anika was P times as old as Ben was. If Anika is now 17 years old, how old is Ben now in terms of P?

Question: Six years ago Anika was P times as old as Ben was. If Anika is now 17 years old, how old is Ben now in terms of P?

Solution:
Anika’s present age = 17 years

Six years ago,
Anika’s age = 17 - 6
= 11 years

Let,
Ben’s present age = x years

So, six years ago,
Ben’s age = x - 6 years

According to the question,
Six years ago Anika was P times as old as Ben was.
∴ 11 = P(x - 6)
⇒ x - 6 = 11/P
⇒ x = (11/P) + 6

Correct Answer: ক) (11/P) + 6