Question

I am three times as old as my son. Five years later, I shall be two and half times as old as my son. Talking age as $x$ years and son's as $y$ years, write the linear equation so formed.

Answer 1

Son's age $=y\text{years}$

Talking age $=x\text{years}$

Condition I:-

$x=3y$

$\Rightarrow x-3y=0.....\left(1\right)$

Condition II:-

$x+5=\frac{5}{2}(y+5)$

$\Rightarrow 2(x+5)=5(y+5)$

$\Rightarrow 2x+10=5y+25$

$\to 2x-5y-15=0.....\left(2\right)$

Equation $\left(1\right)$ and $\left(2\right)$ are linear equations formed.