# Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?

A. 16 years B. 18 years C. 28 years D. 24.5 years**Answer: Option D**

## Show Answer

Solution(By Apex Team)

$\begin{array}{l}\text{Let Rahul’s age be x years}\\
\text{Then,}\\
\text{Sachin’s age }=\left(x-7\right)\ \text{years}.\\
\begin{array}{l}\therefore\frac{x-7}{x}=\frac{7}{9}\\
\Rightarrow9x-63=7x\\
\Rightarrow2x=63\\
\Rightarrow x=31.5\\
\therefore\text{Sachin’s age}\\
=\left(x-7\right)\ \text{years}\\
=24.5\ \text{years}\end{array}\end{array}$