Question : The ratio of the present ages of R and S is 11 : 17. 11 years ago, the ratio of their ages was 11 : 20. What is R's present age (in years)?
Option 1: 51
Option 2: 33
Option 3: 22
Option 4: 40
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Correct Answer: 33
Solution :
Let the present age of R be $11x$, and S be $17x$.
According to the given condition,
$\frac{11x-11}{17x-11} = \frac{11}{20}$
⇒ $220x - 220 = 187x-121$
⇒ $33x = 99$
$\therefore x = 3$
Thus, the present age of R = 11 × 3 = 33 years
Hence, the correct answer is 33 years.
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