Question

A grandfather is 10 times
older than his grand-daughter.
He is also 63 years older than
her. find their present ages.
​

Answer 1

Answer:

Grand daughter = 7 yrs

Grand father = 70 years

Step-by-step explanation:

Let granddaughter age = x

Grandfather age = 10x

10x - x = 63

9x = 63

x = 7

Answer 2

Answer:

The present ages of grandfather and his grand-daughter are 70 years and 7 years respectively.

Step-by-step-explanation:

Let the present age of grandfather be x years.

From the given condition,

Present age of grand-daughter = ( x - 63 ) years

From the another condition,

x = 10 ( x - 63 )

⇒ x = 10x - 630

⇒ 630 = 10x - x

⇒ 630 = 9x

⇒ x = 630 ÷ 9

⇒ x = 70 years

Now,

Present age of grand-daughter = ( x - 63 ) years

⇒ Present age of grand-daughter = ( 70 - 63 ) years

⇒ Present age of grand-daughter = 7 years

∴ The present ages of grandfather and his grand-daughter are 70 years and 7 years respectively.