correct answer is: c) 35 years.

Explanation

The age of Ram : the age of Shyam =\;5\;:\;6.
And the age of Shyam be 42 years.
Let, The age of Ram be ‘x’ years.
According to the question,
5\;:\;6\;=\;x\;:\;42
\rightarrow\large\frac{5}{6}\normalsize=\large\frac{x}{42}
\rightarrow 6x=\left(5\times42\right) _{[cross multiply]}
\rightarrow x=\large\frac{\left(5\times42\right)}{6}
\rightarrow x=35
So that, Ram age is 35 years.
Ans: Ram age is 35 years.

This math puzzle can be presented in many ways:

1. If the ratio of Ram’s age to Shyam’s age is 5 : 6 and Shyam’s age is 42 years, determine Ram’s age.
2. When Shyam’s age is 42 years and the ratio of Ram’s age to Shyam’s age is 5 : 6, ascertain Ram’s age.
3. If the age of Shyam is 42 years and the ratio of Ram’s age to Shyam’s age is 5 : 6, what is the age of Ram?