Question

a grandfather is tentimes older than the grand daughter and he is 63 ears old er than her find present age

Answer 1

Answer:

The grandfather and his granddaughter's present age. Granddaughter's age is 10 times lesser than the grandfather and the grandfather's age is 54 more than his granddaughter. Thus, the present ages of grandfather and his granddaughter are 60 years and 6 years respectively.

Answer 2

Correct Question :-

• A grandfather is ten times older than his grand daughter and he is 63 years older than her. Find their present ages.

Answer :-

• The grand daughter's age is 7 years.
• The grand father's age is 70 years.

Given :-

• A grand father is ten times older than her.
• He is also 63 years older than her.

To find :-

• Their present ages.

Step-by-step explanation :-

• Let the age of the grand daughter be "x".

• As her grand father is ten times older than her, his age will be 10x.

• Now, it has been given that the grand father is also 63 years older than her. So his age will be x + 63 too.

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$\longmapsto\sf10x = x + 63$

Transposing x from RHS to LHS, changing it's sign,

$\longmapsto\sf10x - x = 63$

Subtracting x from 10x,

$\longmapsto\sf9x = 63$

Transposing 9 from LHS to RHS, changing it's sign,

$\longmapsto\sf x = \dfrac{63}{9}$

Dividing 63 by 9,

$\longmapsto \underline{\boxed{\sf x = 7}}$

• The value of x is 7.

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So, the present age of the grand daughter is :-

$\hookrightarrow\bf x = 7 \: years.$

And the present age of the grand father is :-

$\hookrightarrow\bf 10x = 10 \times 7 = 70 \: years.$

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• The grand father's age is x + 63 as well. So we can find his age using another way too.

His present age is :-

$\hookrightarrow\bf x + 63 = 7 + 63 = 70 \: years.$