Question

$\text{A}$ and $\text{B}$ are together $90$ years old. Five years ago $\text{A}$ was thrice as old as $\text{B}$ was. Hence the ages of $\text{A}$ and $\text{B}$ five years back would be $(\text{x-5)}$ years and $(85-\text{x)}$ years respectively . State whether the statement is true or false .

• A. True
• B. False

Answer 1

The correct option is A True

Let the age of $\text{A}$ is $=\text{x}$

Then the age of $\text{B}$ is $=\text{90-x}$ ( because sum of ages of both is $\text{90}$)

Five years back

Age of $\text{A}$$=\text{x-5}$

Age of $\text{B}$$=\text{90-x-5=85-x}$

Hence the given statement is true because the given ages are correct .