A father said to his son that he was thrice of his age 15 years before and will be twice of his ag

M4maths Previous Puzzles

17 Aug 2010 Son and father age

A father said to his son that he was thrice of his age 15 years before and will be twice of his age
10 years hence. Difference of the ages of father and son is

OPtion

1) 24
2) 40
3) 32
4) 35
5) 50
6) 12
7) 22
8) 34
9) 28
10) 38

Solution

Let the age of father is f and that of son is s at present
According to the given conditions
f - 15 = 3 (s-15) => f – 3s = -30 (i)
f + 10 = 2 (s+10) => f – 2s = 10 (ii)
On solving (i) and (ii), we get f = 90; s = 40

Correct Option: 5 Best Solution (0)