# RD Sharma Solutions Class 9 Mathematics Solutions for Linear Equations In Two Variables Exercise 13.3 in Chapter 13 - Linear Equations In Two Variables

Question 2 Linear Equations In Two Variables Exercise 13.3

A number is 27 more than the number obtained by reversing its digits. lf its unit’s and ten’s digit are x and y respectively, write the linear equation representing the statement.

Given: The original number is 27 more than the number obtained by reversing its digits

The given number is in the form of 10y + x.

Number produced by reversing the digits of the number is 10x + y.

As per statement:

10y + x = 10x + y + 27

10y – y + x – 10x = 27

9y – 9x = 27

9 (y – x) = 27

y – x = 3

x – y + 3 = 0

Above equation represents the required linear equation

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