Question

The difference of a two digit number and the number obtained by reversing the digits is 81. Write the linear equation illustrating the above situation​

Answer 1

Step-by-step explanation:

Lets xy is a two digit number.

From the question, we have to check for xy−yx

xy−yx=(10x+y)−(10y+x)=9x−9y=9(x+y)

Which is always divisible by 9.

Hence the difference of a two digit number and the number obtained by reversing the digit is always divisible by 9.

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Answer 2

Answer:

x-y=9

Step-by-step explanation:

let the number be xy

xy=10x+y

yx=10y+x

xy-yx=10x+y-10y-x

=9x-9y

given xy-yx =81

9x-9y=81

9(x-y)=81

x-y=9