Question

Q12. A number is 36 less 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 given information. Also draw the graph of the
equation
​

Answer 1

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

I hope you can draw graph ......

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