Question

Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of his mother’s present age. What are their present ages?

Answer 1

Step 1: Declaring the variables for Shobo & her mother

Let the present age of Shobo be $x$

Let the age of her mother will be $6x$.

Shobo’s age after $5$ years $=x+5$

Step 2: Following the question instructions & rearranging the equation

$$\begin{gathered} (x+5)=\frac{1}{3}\times 6x \\ x+5=2x \end{gathered}$$

Rearranging the equation and combining like terms we get

$$\begin{gathered} \Rightarrow 2x–x=5 \\ \Rightarrow x=5 \end{gathered}$$

Step 3: Finding the age by putting the value of $x$

Present age of Shobo $=x=5years$

Present age of Shobo’s mother $=6x=30years.$

Hence, the present age of Shobo is $5years$ & Present age of Shobo’s mother $30years$.