Question

The ages of Ashish and Gagan are in the ratio $7:6$. If Ashish is $35$ years old, find the age of Gagan.

Answer 1

Step:Finding the age of Gagan.

Let the age of Gagan be $\text{x years}$.

Then, the ratio of ages of Ashish and Gagan is $\text{35:x}$

According to question, the ages of Ashish and Gagan are in the ratio $7:6$.

$$\begin{gathered} \text{⇒}\frac{7}{6}=\frac{35}{\mathrm{x}} \\ \Rightarrow \mathrm{x}\times 7=35\times 6 \\ \Rightarrow 7\mathrm{x}=210 \\ \Rightarrow \mathrm{x}=\frac{210}{7} \\ \Rightarrow \mathrm{x}=30 \end{gathered}$$

Hence, the age of Gagan is $\text{30 years}$