Question

A grandfather isten times olderthan his granddaughter. He is also 54 years older than her. Find their

present ages.​

Answer 1

Determining the present age if GrandFather and Grandaughter

Answer:

present age of grand daughter = 6 years and

present age of grand father = 10y = 10 x 6 = 60 years.

Explanation:

given that grandfather is 10 times older that granddaughter

Also grandfather is 54 years older than grand daughter.

Need to determine their present age.

lets assume age of granddaughter = y

As  grandfather is 10 times older that granddaughter ,

=> age of  grandfather  = 10 x age of granddaughter  = 10 x y = 10y

=>age of  grandfather  = 10y

As grandfather is 54 years older than grand daughter.

=> age of  grandfather - age of granddaughter = 54

=> 10y - y = 54

=>9y = 54

=> y = 54/9 = 6

=> 10y = 6 x 10 = 60

so present age of grand daughter = y = 6 years

And present age of grand father = 10y = 10 x 6 = 60 years.

#answerwithquality

#BAL

Answer 2

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The grandfather and his granddaughter’s present age are 60 years and 6 years respectively.

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Granddaughter’s age is 10 times lesser than the grandfather and the grandfather’s age is 54 more than his granddaughter.

Let us assume that the age of granddaughter and grandfather be x and y respectively

The equation representing the ages of grandfather and granddaughter are

$</p><p>\begin{gathered}\begin{array} { l } { y = 10 \times x \ldots . ( 1 ) } \\\\ { y = x + 54 \ldots . ( 2 ) } \end{array}\end{gathered} </p><p></p><p> </p><p>$

Substitute equation (1) in (2)

$\begin{gathered}\begin{array} { l } { 10 \mathtt { x } = \mathtt { x } + 54 } \\\\ { 10 \mathtt { x } - \mathtt { x } = 54 } \\\\ { 9 \mathtt { x } = 54 } \\\\ { \mathtt { x } = \frac { 54 } { 9 } = 6 } \end{array}\end{gathered} </p><p></p><p>$

The granddaughter age is 6 years

The grandfather age is 10 x=

$</p><p> \tt= 10 \times 6 = 60 \text { years }$

Thus, the present ages of grandfather and his granddaughter are 60 years and 6 years respectively.