Question

The sum of two digits of a two digit number is 6. If 36 is subtracted from the number it's get revers. Find the number

Answer 1

Answer:

I'll give you as an example

Step-by-step explanation:

Let's take 'x' be the ones place digit and 'y' be the tens place digit of a two digit number.

Therefore, number can be written as 10y+x (for instance, 23 can be written as 2*10+3)

Now, accounting to the given condition.we have

Sum of digits=12

Or x+y=12

Or. y=12-x………………………….(1)

Then, it is also given that

number-36

Or. 10y+x-36=10x+y

Or. 10y-y-36=10x-x

Or. 9y-36=9x

Take 9 common from both the sides.

Or 9(y-4)=9x.

Or. y-4=x……………………….(2)

Now, put the value of y from equation (1) above into equation (2),we get

(12-x)-4=x

Or. 12-x-4=x

Or. 8=x+x

Or. 8=2x

Or x= 8/2=4

Implies. y=12-x=12–4=8

Hence, the two digit number becomes 84.(since 10y+x was the number).