3 years ago

Find all two-digit numbers with the following property: difference of that number and the number with its reversed digits is 36.

1 answer:

6 0

$10x+y-(10y+x)=36\\
10x+y-10y-x=36\\
9x-9y=36\\
x-y=4\\\\
x,y\in\{1,2,3,4,5,6,7,8,9\}\\
\Downarrow\\
x=5,y=1\\
x=6,y=2\\
x=7,y=3\\
x=8,y=4\\
x=9,y=5


$

There are 5 such numbers - 51,62,73,84,95

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