Question

The present age of sahil's mother is three times the present age of sahil. After $5$ years their ages add to $66$ years find their present age.

Answer 1

Let present age of Sahil $=x$ years

Let present age of Sahil's mother $=y$ years

The present age of Sahil's mother is three times the present age of Sahil.

So,

$y=3x$ ......... (1)

After $5$ years their ages add to $66$ years.

After $5$ years Sahil age $=x+5$

After $5$ years Sahil's mother age $=y+5$

Now,

$x+5+y+5=66$

$x+y+10=66$

$x+y=66-10$

$x+y=56$ ......... (2)

From (1) and (2),

$x+3x=56$

$4x=56$

$x=14$ years

From (1),

$y=3x$

$=3\left(14\right)$

$=42$ years
present age of Sahil $=14$ years

present age of Sahil's mother $=42$ years