Let Vinay’s present age be xThen, his mother’s present age =3x
After 5 years,Vinay’s age = x+5Vinay's mother’s age = 3x+5
[1 mark]
Sum of Vinay and Vinay's Mother's age after 5 years = 70
⇒x+5+3x+5=70⇒4x+10=70⇒4x+10−10=70−10⇒4x=60⇒x=15⇒3x=45
[2 marks]
∴Vinay’s age is 15 years and his mother’s age is 45 years.