Question

15) A grandfather is ten times older than his granddaughter. He is also 81
years older than her. Find the present age of granddaughter?
options -

5 years
9 years
81 years
10 years​

Answer 1

Hey Pretty Stranger!

Let granddaughter's age be x then Grandfather's age will be 10x

According to the Question :

Grandfather's age = Granddaughter's age + 81

$\longrightarrow \sf \: 10x = x + 81$

$\longrightarrow \sf \: 10x - x = 81$

$\longrightarrow \sf \: 9x = 81$

$\longrightarrow \sf \: x = \dfrac{81}{9}$

$\longrightarrow \sf \large \boxed{ \sf x = 9}$

$\therefore$ Granddaughter's age is 9 years.

Answer 2

Given :

• A grandfather is ten times older than his granddaughter. He is also 81 years older than her.

To Find :

• The present age of grand daughter.

Solution :

Let the grand daughter age = x

Grand father age = 10x

$\dagger\:$According to question

Grand fathers age = Grand daughter age + 81

➢ 10x = x + 81

➢ 10x - x = 81

➢ 9x = 81

➢ x = 81/9

➢ x = 9

Therefore, the present age of grand daughter is 9 years.