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.

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Solution

Son's age $= y years$
Talking age $= x years$
Condition I:-
$x = 3 y$
$\Rightarrow x - 3 y = 0 . . . . . (1)$
Condition II:-
$x + 5 = \frac{5}{2} (y + 5)$
$\Rightarrow 2 (x + 5) = 5 (y + 5)$
$\Rightarrow 2 x + 10 = 5 y + 25$
$\to 2 x - 5 y - 15 = 0 . . . . . (2)$
Equation $(1)$ and $(2)$ are linear equations formed.

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