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
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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
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