A number is 36 less than the number obtained by reversing its digit. If its unit digit and the tens digit are X and y respectively. Write a linear equation to represent the given information. Also draw the graph
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Answer:
10Y + X = 10X + Y + 36
On solving it becomes, Y - X = 4
Step-by-step explanation:
Unit digit - X
Tens digit - Y
Number is YX, which can also be written as 10Y + X.
When the digits are reversed, new number is XY, which can be written as 10X + Y.
According to question:
⇒ Original no. = new no. + 36
⇒ 10Y + X = 10X + Y + 36, which is the required equation.
⇒ 10Y - Y + X - 10X = 36
⇒ 9Y - 9X = 36
⇒ 9( Y - X ) = 36
⇒ Y - X = 4
On simplifying it becomes Y - X = 4 or Y - X - 4 = 0
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