Question 1111861
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The difference between a 2-digit integer and the 2-digit integer with the digits reversed is 9d, where d is the difference between the two digits.<br>
In this problem, the difference is 45, so the difference between the two digits is 5.<br>
Since the number is reduced when the digits are reversed, the tens digit is larger than the units digit.<br>
So the only possible answers are 61, 72, 83, and 94.<br>
Then the problem says the integer is 8 times the sum of its digits; that means it is a multiple of 8.<br>
The only integer in the list of possible answers that is divisible by 8 is 72; so the answer must be 72.<br>
CHECK: 72 = 8(7+2); 72-27 = 45