A number is 27 more than the number obtained by reversing its digits. If its unit’s and ten’s digit are x and y respectively, write the linear equation representing the above statement.
Answers
The linear equation representing the above statement is -
y - x = 3
The the two digit number has x as the unit's place digit and y as the ten's place digit.
Number = 10×y + x = 10y+x
When the digits are reversed , the number = 10x + y
Given that the original number is 27 more than the number obtained on reversing the digits, so the equation is -
10y+x - (10x + y) = 27
=> 9y - 9x = 27
=> y - x = 3
Given : A number is 27 more than the number obtained by reversing its digits. If its unit’s and ten’s digit are x and y.
The number is in the form of = 10y + x.
The number formed by reversing the digits of the number = 10x + y.
A.T.Q
10y + x = 10x + y + 27
10y – y + x – 10x = 27
9y – 9x = 27
9 (y – x) = 27
(y – x) = 27/9
y – x = 3
x – y + 3 = 0
Hence, the linear equation representing the above statement is x – y + 3 = 0.
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