Question

A and B are friends and their ages differ by 2yrs. A's father,D is twice as old as A and B is twice as old as his sister C. The ages of D and C differ by 40yrs. Find the ages of A and B.

Answer 1

let A s age be x years.

let B s age be y years.

x-y =2 -(1)

OR

y-x -(2)

A.T.Q,

2x-y/2=40

4x-y/2=40

4x-y=80 -(3)

Case 1 when x - y =2

solving (1) and (3) we get

x=26 years

y = 24 years

Case 2 when y-x=2

solving (2) and (3) we get

x=27.33 years

y=29.33 years