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Two brothers were talking about how the older they get, the less

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carbazzy
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Two brothers were talking about how the older they get, the less [#permalink] New post  Updated on: 17 Jan 2020, 11:22
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Project IR Butler 2019-20 - Get one IR Question Everyday
Question # 09, Date : 09-Oct-2019
This post is a part of Project IR Butler 2019-20. Click here for Details


Two brothers were talking about how the older they get, the less significant the difference in their ages seems to be. Specifically, they noticed that, 20 years ago, the ratio of their ages (in years) was 1:2; now, the ratio is 5:6; and, 20 years from now, the ratio will be 9:10.

Based on the information provided, select for Difference in ages the difference, in years, in their ages, and select for Sum of ages now the sum, in years, of their ages now. Make only two selections, one in each column.

Difference in agesSum of ages nowValues
5
10
15
20
35
55


Show SpoilerOA
Difference in Ages: 5
Sum of Ages: 55

Originally posted by carbazzy on 06 Aug 2019, 07:43.
Last edited by Sajjad1994 on 17 Jan 2020, 11:22, edited 4 times in total.
Updated - Complete topic (26).
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Apt0810
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Re: Two brothers were talking about how the older they get, the less [#permalink] New post  17 Jan 2020, 11:29
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Current age of A = 5x
Current age of B = 6x

Now ratio of their ages 20 years ago = 5x-20/6x-20 =1/2 so from this x=5,so the current age of A =25 and that of B=30. And the ratio of their ages 20 years from now will be 9:10

Now per the question Difference in their ages= 5
And sum = 30+25= 55

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gvij2017
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Re: Two brothers were talking about how the older they get, the less [#permalink] New post  09 Oct 2019, 17:04
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Ans:
Difference in age: 5
Sum of age: 25+30=55

I have one more thought for this problem.

Current age is x and y respectively.
x/y = 5/6

x-y/x+y= -1/11 (Here we are talking about absolute value of difference. so consider the ration 1/11)

So sum must be multiple of 11 and then you can figure out the difference in age.
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Re: Two brothers were talking about how the older they get, the less [#permalink]
09 Oct 2019, 17:04
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