SOLUTION: There are two two-digit numbers that satisfy the following conditions: (1) Each number has the same digits, (2) the sum of the digits in each number is 10, and (3) the differenc

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Question 964066: There are two two-digit numbers that satisfy the following
conditions: (1) Each number has the same
digits, (2) the sum of the digits in each number is
10, and (3) the difference between the two numbers
is 54. What are the two numbers?

Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Two digit numbers whose some is 10 are 91,82,73,64, ...
Try 91, 82, 73 and so forth as the larger of the two numbers.
For 91, the other number is 19
since each number has the same digits, and their difference is 91-19 = 72
For 82, the other number is 28, and their difference is 82-28 = 54
82 and 28 seem to be the numbers we want.
Each number has the same digits.
The sum of the digits is 10.
Their difference is 54