Question

Q1. The ages of A, B and C together total 185 years B is twice as old as A and C is 17 years older than A. then, the respective ages of A, B and C are

• A. (a) 40, 86 and 59 years
• B. (b) 42, 84 and 59 years
• C. (c) 40, 80 and 65 years
• D. (d) 20, 30 and 70 years

Answer 1

The correct option is B

(b) 42, 84 and 59 years

Let A’s age be x years

B’s age be 2x years

C’s age = (x+17) years

According to the question,

x + 2x + (x+17) = 185

4x = 185 – 17 = 168 x = 42

A’s age = 42 years

B’s age = 84 years

C’s age = 42 + 17 = 59 years