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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
Solution
Let the granddaughter’s age be x years. Therefore, grandfather’s age will be 10x years.
According to the question,
Grandfather’s age = Granddaughter’s age + 54 years
10x = x + 54
Transposing x to L.H.S, we obtain
10x − x = 54
9x = 54
x = 6
Granddaughter’s age = x years = 6 years
Grandfather’s age = 10x years = (10 × 6) years = 60 years
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