IBPS Clerk Prelims Model Paper 20

Suppose the present ages of A & B to be ‘a’ & ‘b’ respectively. Hence, 2 years ago, their ages must have been (a–2) & (b–2) respectively.
Average of their ages at that time = 26
So,
[(a – 2) + (b – 2)]/2 = 26
(a – 2) + (b – 2) = 52
a + b = 56
Age of A, 5 year hence = 40 years
Hence, (a + 5) = 40
a = 35 years
Hence, b = 56 – 35 = 21 years
B = (C – 5)
Hence, C = 21 + 5 = 26 years
Age difference between A & C
= 35 – 26 = 9 years