Question

P is 5 years older than Q who is twice as old as R If the total of the ages of P, Q and R be 55 years, then how old is P ?
1. 10 years
2. 15 years
3. 20 years
4. 25 years

Answer 1

Correct Answer - Option 4 : 25 years

Given 

P is 5 years older than Q who is twice as old as R and the total of ages of P, Q and R be 55 years

Calculations :

Let the age of P, Q and R be p, q and r. 

Age of P = 5 + q 

Age of Q = q 

Age of R = q/2 

According to the question 

5 + q + q + (q/2) = 55 

⇒ q = 50/2.5 

⇒ q = 20 

Age of P = 5 + q 

⇒ 5 + 20 = 25 

∴ The correct choice will be option 4.