The respective ratio between the present age of Ram and Rakesh is 6 : 11. Four years ago the ratio of their age was 1 : 2 respectively. What will be Rakesh's age after five years?
The respective ratio between the present age of Ram and Rakesh is 6 : 11. Four years ago the ratio of their age was 1 : 2 respectively. What will be Rakesh's age after five years?
A45 years
B29 years
C49 years
DCannot be determined
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Correct answer is: 49 years
Explanation:
Let Ram's present age be 6x years and that of Rakesh be 11x years.
Four years ago,\(\Large \frac{6x-4}{11x-4}=\frac{1}{2}\)
\(\implies 12x - 8 = 11x - 4\)
\(\implies x = 8 - 4 = 4\)
Therefore, Rakesh's age after five years = 11x + 5
\(= 11×4+5 = 49 \text{ years}\)
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