Q: How 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?
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A
12 years
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B
15 years
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C
20 years
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D
19 years
D
Answer:
D
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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