Question

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

Answer 1

ANSWER
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Let the granddaughter's age be x

Grandfather's age = 10x

Given ,

Grandfather is 54 years older than her.

THE EQUATION FORMED
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=> 10x - x = 54

=> 9x = 54

=> x = 54/9

=> x = 6

ANS. The age of granddaughter is 6 years.

ANS. The age of grandfather = 10 × 60 = 60 years.

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#BE BRAINLY

Answer 2

To Find:

The present age of grandfather and granddaughter.

Solution:

Let us consider the age of granddaughter be x and grandfather be 10x

Also, the grandfather is 54 years older than her.

According to the question,

$10x=x+54\\\implies 10x-x=54\\\implies 9x=54$

Now, finding the value of x

Therefore,

Age of grandfather = $10x=10 \times x= \boxed{60 \: years}$

Age of granddaughter = $x = \boxed{6 \: years}$

Hence, the age of grandfather is 60 years and age of granddaughter is 6 years.