M4maths Previous Puzzles

02 Dec 2021 Sum of age

A father said to his son that his (father) age was 7 times his (son) age and his mothers age was 6 times his age 15 years before. If age of father is 5 years more than that of mother, then sum of their ages (all the three) at present will be

OPtion

1) 105
2) 125
3) 130
4) 100
5) 95
6) 90
7) 85
8) 115
9) 80
10) none of these

Solution

let age of father = x
that of mother = x-5
and that of son = y
now according to the given conditions
x-15 = 7(y-15) or x-7y = -90
x-5-15 = 6(y-15) or x-6y = -70
on solving we will get y = 20 and x = 50
so sum = 50 + 45 + 20 = 115

Correct Option: 8 Best Solution (0)