Question

Question 9
A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.

Answer 1

Let present age of granddaughter be x years. Therefore,
Grandfather’s age =10x years
According to question, 10x= x+54
$\Rightarrow 10x-x=54\Rightarrow$ 9x = 54
$\Rightarrow x=\frac{54}{9}$ = 6 years
Hence, granddaughter’s age =6 years and grandfather’s age =10 $\times$ 6 = 60 years.