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Question

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


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Solution

Let the granddaughter's age be x, then the grandfather's age is10x,

Given that grandfather is 54 years older than granddaughter,

According to the given details the equation becomes,

10x=x+54(Rearranging the equation and combining the like terms we get)

10x-x=549x=54x=549x=6

The grand daughter's age is 6 years,

The grand father's age is 10x=10×6=60 years

Hence, the grand daughter's age and the grand father's age are 6 years and 60 years.


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