A man says to his son, \"I am twice as old as you at present yet 20 years ago I was four times as

M4maths Previous Puzzles

22 Jul 2010 Find the age

A man says to his son, "I am twice as old as you at present yet 20 years ago I was four times as old as you."
Sum of the ages of father and son after 1 year will be

OPtion

1) 86
2) 90
3) 50
4) 88
5) 78
6) 49
7) 94
8) 92
9) 89
10) 80

Solution

Let at present age of father = x and that of son = x/2
20 years ago, the age of father = x-20 and that of son = x/2 – 20 According to the given condition x-20 = 4(x/2 -20
=> x-20 = 2x - 80
=> x = 60
Hence age of father = 60 and that of son = 30 at present
After 1 year sum of their ages = 61 + 31 = 92

Correct Option: 8 Best Solution (0)