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
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2 thoughts on “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<br /> numb”

1. 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

   Good night plz give thnx it took to much time to type

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2. 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.

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