General Aptitude › Problems on Ages › Question #4432
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QHow old is Nitin currently if the ratio of Omkar and Nitin's ages five years ago was 8:7, and the ratio of their ages three years from now will be 12:11?

ID: #4432 Problems on Ages 182 views
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#4432Q ID
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Problems on AgesTopic
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  • A 12 years ✔ ✖
  • B 15 years ✔ ✖
  • C 20 years ✔ ✖
  • D 19 years ✔ ✖
Correct Answer

Explanation

Five years ago, the ratio of Omkar's age to Nitin's age was 8:7.
In three years, the ratio of Omkar's age to Nitin's age will be 12:11.
You are asked to find Nitin's present age.

Using this information, you can set up the following equations:

Omkar's age 5 years ago: 8x
Nitin's age 5 years ago: 7x
Omkar's age now: 8x + 5
Nitin's age now: 7x + 5
Omkar's age in 3 years: 8x + 8
Nitin's age in 3 years: 7x + 8

The problem states that the ratio of Omkar's age to Nitin's age five years ago was 8:7, 
so we can set up the following equation:

(8x)/(7x) = 8/7

Simplifying this equation gives us:

8x = 8/7 * 7x
8x = 8x

Since these two expressions are equal, we can set up the following 
equation to represent the ratio of Omkar's age to Nitin's age in three years:

(8x + 8)/(7x + 8) = 12/11

Solving this equation for x gives us:

88x + 88 = 84x + 96
4x = 8
x = 2

Substituting this value for x into the equation for Nitin's age now gives us:

Nitin's age now = 7x + 5 = 7 * 2 + 5 = 19 years

Therefore, Nitin's present age is 19 years.

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