Q. Hema’s age is 5 years more than twice Hari’s age. Suresh’s age is 13 years less than 10 times Hari’s age. If Suresh is 3 times as old as Hema, how old is Hema?
(A) 14 (B) 17 (C) 18 (D) 19
Ans: 19
Sol:
Let Hari’s age (H) = x years
As per the given condition:
Hema’s age (He) = 2x + 5, Suresh’s age (S) = 10x – 13
Suresh is 3 times as old as Hema age i.e. S = 3 × He
∴ 10x – 13 = 3(2x + 5)
⇒ 6x + 15 = 10x – 13
⇒ 15 + 13 = 10x – 6x
⇒ x = 7
∴ Hema’s age = 2x + 5 = 2 × 7 + 5 = 19 years