Question

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

Answer 1

Answer:

Let granddaughter's age be x

Therefore, 10x-x=54

9x=54

x=6

Thus age of his granddaughter =6

Amd age of his grandfather =6*10=60

HOPE IT HELPS....

Answer 2

GIVEN :–

• A grandfather is ten times older than his granddaughter.

• And he is also 54 years older than her.

TO FIND :–

• Their present ages = ?

SOLUTION :–

• Let the age of grandfather is 'x'.

• And the age of his granddaughter is 'y'.

▪︎ According to the first condition –

$\\ \implies { \bold{x = 10y \: \: \: \: \: \: - - - eq.(1)}}$

▪︎ According to the second condition –

$\\ \implies { \bold{x = y + 54 \: \: \: \: \: \: - - - eq.(2)}}$

• Put the value of 'x' from eq.(1) in eq.(2) –

$\\ \implies { \bold{10y = y + 54 }}$

$\\ \implies { \bold{10y - y = 54 }}$

$\\ \implies { \bold{9y = 54 }}$

$\\ \implies { \bold{y = \cancel \dfrac{54}{9}}}$

$\\ \implies \large{ \boxed{ \bold{y = 6}}}$

• Using eq.(1) –

$\\ \implies { \bold{x = 10(6)}}$

$\\ \implies \large{ \boxed{ \bold{x = 60}}}$

▪︎ Hence –

• Age of grandfather = 60 year

• Age of his granddaughter = 6 year