Question

The present age of Vinay’s mother is three times the present age of Vinay. After 5 years, sum of their ages will be 70 years. Find their present ages.
[3 marks]

Answer 1

$\text{Let Vinay’s present age be}x\text{Then, his mother’s present age}=3x$

$\text{After 5 years,}\text{Vinay’s age =}x+5\text{Vinay's mother’s age =}3x+5$
[1 mark]

Sum of Vinay and Vinay's Mother's age after 5 years = 70

$\Rightarrow x+5+3x+5=70\Rightarrow 4x+10=70\Rightarrow 4x+10-10=70-10\Rightarrow 4x=60\Rightarrow x=15\Rightarrow 3x=45$
[2 marks]

$\therefore \text{Vinay’s age is 15 years and his}$$\text{mother’s age is 45 years.}$