Question

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.

Answer 1

Answer:

160

Step-by-step explanation

to find, A+B+C+D=?                   (1)

Given that,  A+C=2*35=70        (2)

B+D=2*40=80                            (3)

B+C+D=3*40=120                       (4)

SO, B+D+C=120         FROM (4)

80+C=120                   FROM (4) AND (3)

HENCE,C=40                         (5)

SO A=70-C        FROM (2)    

A=70-30              FROM (2) AND (5)

A=40                         (6)

HENCE A+B+C+D=40+120=160     FROM (1) , (4) AND (6)