M4maths Previous Puzzles

22 Apr 2019 Age

The present age of a brother is 7 years more than three times the age of his sister. Nine years hence, brother’s age will be 6 years more than twice the age of the sister. Find the present age of the brother.

OPtion

1) 18
2) 22
3) 30
4) 31
5) 27
6) 24
7) 21
8) 28
9) 32
10) None of these

Solution

Let the sister’s present age be ‘n’ years.
=> brother’s present age = (3n + 7) years
So, according to the question
(3n + 7 + 9) = 2 (n + 9) + 6
=> 3n + 16 = 3n + 24
=> n = 8
Hence, brother’s present age = (3n + 7) = 31 years

Correct Option: 4 Best Solution (5)