The sum of number of a two-digit number is 8. If 36 is added to the number climate the number reversed. Discover the number.

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Given :

The sum of the digits of a two-digit number is 8, if 36 is included to the number the digits obtain reversed.

To discover :

We have actually to find the number.

Solution :

Let the number it is in $10x+y$.


It is additionally given the if 36 is added to the number the digits gets reversed.


$10x+y+36 = 10y+x$

$10y+x-10x-y = 36$

$10y-y+x-10x= 36$






$y-x=4$ and $x+y=8$

Adding them,








The initial number is $10(2)+6=20+6=26$.

Therefore, the number is 26.


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