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

Answer

C

Explanation

A+ C = 70 years
B + D = 80 years
B + C + D = 120 years
`:.` C= 40 years and A = 30 years A+D = B+C
or 30 + D = B + 40
or D B = 10
`:.` B = 35 years and D = 45 years