Ram is 20 years younger than Shyam. 5 years ago, the ratio of their age was 3:5. The sum of their present age is
90 years
Let Ram's present age be \( x \) and Shyam's present age be \( x + 20 \).
Five years ago, their ages were \( x - 5 \) and \( x + 20 - 5 = x + 15 \), respectively.
According to the problem, the ratio of their ages five years ago was 3:5:
\[
\frac{x - 5}{x + 15} = \frac{3}{5}
\]
Cross-multiply to solve for \( x \):
\[
5(x - 5) = 3(x + 15)
\]
\[
5x - 25 = 3x + 45
\]
\[
5x - 3x = 45 + 25
\]
\[
2x = 70
\]
\[
x = 35
\]
So, Ram's present age is 35 years and Shyam's present age is \( 35 + 20 = 55 \) years.
The sum of their present ages = \( 35 + 55 = 90 \) years.
Hence, the correct answer is 90 years.
Similar Questions
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Important Questions from Problem on Age
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In a school, the average age of boys and girls together is 16.8 years, the average age of boys is 15.4 years, and the average age of girls is 18.2 years. The ratio of number of boys to girls in the school is:
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