Question

A number is 36 more than the number obtained by reversing it's digits. If its unit's and ten's digits are x and y respectively, write the linear equation representation of the above statement.​

Answer 1

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Answer 2

$\mathfrak{\huge{Answer:}}$

We know that the standard form of any 2 digit number is defined as : 10a + b

Thus, if we're given the digits of the ten's and the unit's place as y and x respectively, the number formed will be = 10y + x

Now, if we reverse it's digits, we get the number = 10x + y

The situation given is that the number formed by reversing its digits is 36 less than the original number.

Represent this algebraically : 10y + x = 10x + y + 36

Try it simplifying: 9y - 9x = 36

Again, more simplifying: y - x = 4

That's your answer!