# Find the Ratio Between Younger Brother and Elder Brother

The sum of the ages of two brother, having a difference of 8 years between them, will double after 10 years, What is the ratio of the age of the younger brother to that of the elder brother ?

1. 8:9
2.   10:13
3.   7:11
4.   3: 7 Manish Listener Asked on 21st June 2015 in
• 1 Answer(s)

Answer: (4) 3:7

Explanation:-
Let the age of elder brother be x years and smaller brother be y years.
Then, According to first condition,
x – y = 8 —– (i)
and sum is x+y
Again, it is given that the sum of their ages will double after 10 years. The equations thus formed is
2(x+y) = (x+10) + (y+10)
Thus, 2x + 2y = x+y+20
x+y=20 —— (ii)
adding (i) and (ii), we get
2x = 28
x = 14 years
and y is 14- 8 = 6 years
Therefore, ratio of younger to elder brother is 6/14 = 3/7

Then, the ration of the age of the younger brother to that of the elder brother = 3 : 7.

Hence, the answer is (4) 3 : 7.

### Your Answer

By posting your answer, you agree to the privacy policy and terms of service.