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Monday, August 15, 2022

The ratio of the present age of Mahesh and Ajay is respectively 3 : 2. After 8 years, ratio of their age will be 11 : 8. What will be the present age of Mahesh's son if his age is half of the present age of Ajay?

The ratio of the present age of Mahesh and Ajay is respectively 3 : 2. After 8 years, ratio of their age will be 11 : 8. What will be the present age of Mahesh's son if his age is half of the present age of Ajay?
A12 years
B24 years
C18 years
D9 years

Correct answer is: 12 years

Explanation:

Let, Mahesh => 3x years
Ajay => 2x years
After 8 years.

\( \frac{3x+8}{2x+8}=\frac{11}{8}\)

=> 24x + 64 = 22x + 881
=> 2x = 88 - 64 = 24
=> x = 12

=> Therefore, Ajay's age 2x = \(2 \times 12\) = 24 years
Therefore, Age of Mahesh's son
\(= \frac{1}{2} \times 24\)

= 12 years

Nithin
answered undefined

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