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

**Solution:**

Let's form a linear equation for the given problem statement.

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 LHS, we obtain

10x - x = 54

9x = 54

x = 6

Hence, 10x = 60

Therefore granddaughter's age is 6 years and her grandfather's age is 60 years.

**ā Check: **NCERT Solutions Class 8 Maths Chapter 2

**Video Solution:**

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

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.4 Question 9

**Summary:**

A grandfather is ten times older than his granddaughter. He is also 54 years older than her. The present ages of the granddaughter and the grandfather are 6 years and 60 years respectively.

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