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Question

# Present age of grandfather is ten times that of his granddaughter. He is also 54 years older than her. Find their present ages.

A
Grand daughters age: 7 years; Grandfathers age: 40 years
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B
Grand daughters age: 6 years; Grandfathers age: 60 years
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C
Grand daughters age: 8 years; Grandfathers age: 50 years
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D
Grand daughters age: 5 years; Grandfathers age: 30 years
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Solution

## The correct option is A Grand daughters age: 6 years; Grandfathers age: 60 yearsLet the Granddaughter's age be x and the Grandfather's age be 10xIt is given that the grandfather is 54 years older than her.Therefore, 10x=54+x9x=54∴x=6Granddaughter's age =6 and Grandather's age 10x=10×6=60.

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