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Q.

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


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a

Granddaughter age is6 years and Grandfather age is 60 years

b

Granddaughter age is8 years and Grandfather age is 80 years

c

Granddaughter age is7 years and Grandfather age is 70 years

d

Granddaughter age is9 years and Grandfather age is 90 years  

answer is A.

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Detailed Solution

It is given a  grandfather is ten times older than his grand daughter and he is also 54 years older than her.
Let the present age of granddaughter be x years.
So, the present age of grandfather is 10x years.
According to the given condition, we have,
 10x-x=54  9x=54
x=6
Therefore, the present age of granddaughter is 6 years and that of grandfather is 60years.
Hence, the correct option is 1.
 
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