Question:
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.
Solution:
The number given to us is in the form of ‘yx‘,
Where y represents the ten's place of the number And x represents the unit's place of the number.
Now, the given number is 10y + x
Number obtained by reversing the digits of the number is 10x + y It is given to us that the original number is 27 more than the number obtained by reversing its digits So, 10y + x = 10x + y + 27
10y – y + x - 10x = 27
9y - 9x = 27
9(y – x) = 27
y – x = 27/9
3x – y + 3 = 0