correct answer is: a) 24 years.

Explanation

The ratio of ages of Ram and Shyam is 8\;:\;7.
And, the age of Shyam be 21 years.
Let, the age of Ram be ‘x’ years.
According to the question,
8\;:\;7=x\;:\;21
\rightarrow\large\frac{8}{7}\normalsize=\large\frac{x}{21}
\rightarrow 7x=\left(8\times21\right)
\rightarrow x=\large\left(\frac{8\times21}{7}\right)
\rightarrow x=24
\therefore The age of Ram be 24 years.
Ans: 24 years.

Other variants of this particular math question are:

1. Ram and Shyam’s ages are in a ratio of 8:7. If Shyam is 21 years old, what is Ram’s age?
2. The ages of Ram and Shyam are in the ratio 8:7. If Shyam’s age is 21 years, what is Ram’s age?
3. If Shyam’s age is 21 years and the ratio of Ram’s age to Shyam’s age is 8:7, what is Ram’s age?