A grand father is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.

Given:

A grand father is ten times older than his granddaughter.

He is also 54 years older than her.

To find: Here we have to find the present ages of Grand father and his grand daughter.

Solution:

Let present age of grand daughter = a

We know that grand father is ten times older than his granddaughter. So,

Present age of grand father = 10a

Also, grand father is 54 years older than grand daughter. Therefore,

Age of grand father = Age of grand daughter $+$ 54

10a = a $+$ 54

10a $-$ a = 54

9a = 54

a = $\frac{54}{9}$

a = 6

Therefore,

Present age of grand daughter = a = 6 years

Present age of grand father = 10a = 10 $\times$ 6 = 60 years

Tutorialspoint

Updated on: 10-Oct-2022

27 Views

Kickstart Your Career

Get certified by completing the course

Get Started