Question

A grandfather is ten times older than his grand daughter. He is also $54$ years older than her. Find their present ages.

• A. The present age of granddaughter is $6$ years and that of grandfather is $60$ years.
• B. The present age of granddaughter is $8$ years and that of grandfather is $80$ years.
• C. The present age of granddaughter is $7$ years and that of grandfather is $70$ years.
• D. The present age of granddaughter is $9$ years and that of grandfather is $90$ years.

Answer 1

The correct option is A The present age of granddaughter is $6$ years and that of grandfather is $60$ years.

Let the present age of granddaughter be $x$ years.
So, the present age of grandfather is $10x$ years.
According to the given condition, we have
$10x-x=54$
$\Rightarrow 9x=54$

$\Rightarrow x=6$ .... On dividing $9$ from both the sides
Hence, the present age of granddaughter is $6$ years and that of grandfather is $60$ years.