Let the age of granddaughter be x and
Let the age of grandfather be 10x.
Given that he is 54 years older than her.
According to the given details the equation becomes
10x = x + 54
⇒ 10x – x = 54
Rearranging the equation and combining like terms we get
⇒ 9x = 54
⇒ x = 6
Age of grandfather = 10x = 10 × 6 = 60 years.
Age of granddaughter = x = 6 years.
Age of grandfather = 60 years.
Age of granddaughter = 6 years.