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A Grandfather is Ten Times Older than His Granddaughter. He is Also 54 Years Older than Her. Find Their Present Ages - Mathematics

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 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

  Is there an error in this question or solution?
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APPEARS IN

NCERT Class 8 Maths Textbook
Chapter 2 Linear Equations in One Variable
Exercise 2.4 | Q 9 | Page 32
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