Question : The present ages of A and B are in the ratio 5 : 6, respectively. After seven years this ratio becomes 6 : 7, then the present age of A in years is:
Option 1: 35 years
Option 2: 32 years
Option 3: 33 years
Option 4: 30 years
Correct Answer: 35 years
Solution :
Given: The present ages of A and B are in the ratio of 5 : 6, respectively.
After seven years, this ratio becomes 6 : 7.
Let the present ages of A and B be $5x$ and $6x$.
After 7 years, the ages of A and B will be $5x+7$ and $6x+7$, respectively.
So, $\frac{5x+7}{6x+7} = \frac{6}{7}$
⇒ $35x+49 = 36x+42$
$\therefore x=7$
So, the present age of A = 5 × 7 = 35 years
Hence, the correct answer is 35 years.
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