Question

The sum of the ages of Anju and her mother is $65\mathrm{years}$. If Anju’s present age is $\mathrm{y}\mathrm{years}$ then her mother’s age before $5\mathrm{years}$ is $(60–\mathrm{y})\mathrm{years}$. State whether the statement is true or false.

• A. True
• B. False

Answer 1

The correct option is A True

Explanation:

Given that, Anju’s present age $=\mathrm{y}\mathrm{years}$

The sum of the ages of Anju and her mother is $65\mathrm{years}$.

Then the present age of Anju's mother $=\left(65-\mathrm{y}\right)\mathrm{years}$

Before $5\mathrm{years}$, the age of Anju's mother $=\left[\left(65-\mathrm{y}\right)-5\right]\mathrm{years}$

$$\begin{gathered} =65-\mathrm{y}-5 \\ =65-5-\mathrm{y} \\ =(60-\mathrm{y})\mathrm{years} \end{gathered}$$

Thus, before $5\mathrm{years}$ , the age of Anju's mother is $\left(60-\mathrm{y}\right)\mathrm{years}$.

Therefore the given statement is true.