The present age of a brother is 6 years more than four times the age of his sister. Six years hence,

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08 Aug 2019 Age

The present age of a brother is 6 years more than four times the age of his sister. Six years hence, brother’s age will be four years more than thrice the age of the sister. Find the present age of the brother.

OPtion

1) 38
2) 42
3) 30
4) 41
5) 48
6) 20
7) 21
8) 46
9) 18
10) None of these

Solution

Let the sister’s present age be ‘n’ years.
=> brother’s present age = (4n + 6) years
So, according to the question
(4n + 6 + 6) = 3 (n + 6) + 4
=> 4n + 12 = 3n + 22
=> n = 10
Hence, brother’s present age = (4n + 6) = 46 years

Correct Option: 8 Best Solution (0)