Question

The present age of Sahil’s mother is three times the present age of Sahil. After 5 years their ages will add to 66 years. Find their present ages.
[2 marks]

Answer 1

Let Sahil’s present age be $x$
Then, his mother’s present age will be $3x$
[0.5 mark]

After 5 years,
Sahil’s age = $x+5$
Sahil's mother’s age = $3x+5$
[0.5 mark]

Sum of Sahil and Sahil's Mother's age after 5 years = 66

$\Rightarrow x+5+3x+5=66\Rightarrow 4x+10=66\Rightarrow 4x+10-10=66-10\Rightarrow 4x=56\Rightarrow x=14\text{And}3x=42$

$\therefore \text{Sahil’s age is 14 years and his}$$\text{mother’s age is 42 years.}$
[1 mark]