The ratio of the age of' Tina and Rakesh is 9 : 10 respectively. Ten years ago the ratio of their age was 4 : 5 respectively. What is the present age of Rakesh?
The ratio of the age of' Tina and Rakesh is 9 : 10 respectively. Ten years ago the ratio of their age was 4 : 5 respectively. What is the present age of Rakesh?
A25 years
B20 years
C30 years
D24 years
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Correct answer is: 20 years
Explanation:
Let the present age of Tina and Rakesh be 9x and 10x years respectively.
10 years ago.
\(=\Large \frac{9x-10}{10x-10}=\frac{4}{5}\)
\(\implies 45x - 50 = 40x - 40\)
\(\implies 5x = 10 \implies x = \frac{10}{5} = 2\)
Therefore, Rakesh's present age = 10x
\(=\Large 10 \times 2 = 20 \text{ years}\)
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