Question

The sum of a two digit number is 8.When 36 is added to the number,the digit of the number get reversed.Find the orignal
number​

Answer 1

Given:-

•The sum of a two digit number is 8.When 36 is added to the number and the digit of the number get reversed.

To Find:-

•Find the original number.

Solution:-

Let consider the number be 10x +y.

x +y = 8 ------(i)

It is also given that if 36 is added to the number the digits get reversed.

Therefore,

10x +y +36 = 10y +x

10y + x - 10x - y = 36

10y - y +x -10x = 36

9y -x(10 -1) = 36

9y - 9x = 36

9(y -x)= 36

y -x = 36/9

y -x = 4 ------(ii)

y -x = 4 and x + y = 8

Now add them,

y - x +x+y = 4 +8

2y = 12

y = 12/2

y = 6

Now put on equation(i)

x + y = 8

x + 6 = 8

x = 8 -6

x = 2

The original number is 10(2) + 6 = 20 + 6 = 26

Therefore,The original number is 26.

_______________________________

Answer 2

Answer:

it also given that if 10x +y x +y=8

number the digits get reversed

10x +y +36 = 10y +x

10y +x-10x-y=36

10y-y+x-10x=36

9y-x (10-1) =36

9y-9x=36

9(y-x)=36

y-x=36/9

y-x=4

y-x=4 and x+y=8

Adding them

y-x+x+ y=4+8

2y=12

y=12/12

y=6

x+6=8

x=8-6

x=2

The original number is

10 (2)+6=20+6=26

Answer=the number is =26

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