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

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