Question

A is elder to B by 2 years. A's father F is twice as old as A and B is twice as old as his sister S. If the ages of father and sister differ by 40, find the age of A​

Answer 1

Answer:

26

Step-by-step explanation:

Let the ages of A, B, F and S be a, b, c, and d respectively.

Given, a = b + 2

          c = 2a

          b = 2d

          c - d = 40

c - d = 2a - b/2 = 40

4a - b = 80 (i)

a - b = 2  (ii)

So, 3a = 78            [(ii)-(i)]

a = 26