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Question:

A grandfather is 10 times older than his granddaughter. He is also 54 years older than her. Find their present ages.

Solution:

Let granddaughter's age: x
∴Grandfather's age: 10x
As per the question
Grandfather's age = Granddaughter's age + 54
10x = x + 54
9x = 54
x = 6
Granddaughter's age = 6 years
Grandfather's age = 10 * 6 = 60 years