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