Question 1121078
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You might want to play around with this a bit to see that it works, since problems like this involving reversing the digits of a 2-digit numbers are common.<br>
You might even want to look at an algebraic proof that the method works....<br>
<b>When the digits of a 2-digit number are reversed, the difference between the original number and the new number is 9 times the difference between the two digits.</b><br>
In this problem, the sum of the digits is 11; and when the digits are reversed the value of the number decreases by 9.  Since 9 is 9*1, the difference between the two digits is 1.<br>
So the two digits have to be 5 and 6; then, since the number decreases when the digits are reversed, the original number was 65.