A, B, C, D, are four friends.Average age of A and C is 35 years and that of B, and D is 40 years. Average age of B, C and D is 40 years. The sum of the ages of A and D is equal to that of B and C. Find out the ages (in years) of A, B, C and D.

Options

A. 20, 30, 40, 50
B. 20, 25, 30, 35
C. 30, 35, 40, 45
D. 30, 40, 50, 60

Answer

C

Explanation

A+ C = 70 years
B + D = 80 years
B + C + D = 120 years
`therefore ` C= 40 years and A= 30 years
A+D=B+C
or, 30 + D =B + 40
or, D-B= 10
`therefore ` B = 35 years and D
= 45 years