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.

Answer 1

$\text{Let Sahil’s present age be}x\text{Then, his mother’s present age}=3x$
[0.5 marks]

$\text{After 5 years,}\text{Sahil’s age =}x+5\text{Sahil's mother’s age =}3x+5$
[0.5 marks]

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

$\Rightarrow x+5+3x+5=66\Rightarrow 4x+10=66\Rightarrow 4x+10-10=66-10\Rightarrow 4x=56\left[1mark\right]\Rightarrow x=14\Rightarrow 3x=42$

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