Question : The present age of two persons is 36 years and 50 years respectively. If after n years, the ratio of their age will be 3 : 4, then the value of n is:
Option 1: 4
Option 2: 7
Option 3: 6
Option 4: 3
Correct Answer: 6
Solution :
Given:
The present age of A = 36 years
The present age of B = 50 years
According to the question,
ratio after n years = 3 : 4
⇒ $\frac{36 + n}{50+n} = \frac{3}{4}$
⇒ 144 + 4n = 150 + 3n
⇒ n = 6
Hence, the correct answer is 6 years.
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