Question 1161044
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A quick and easy path to the solution, using logical reasoning -- if a formal algebraic solution is not required.<br>
"the number itself is 1 more than 5 times the sum of its digits".<br>
1 more than a multiple of 5 means the units digit of the number is either 1 or 6.<br>
The units digit is 1 more than the tens digit; so the 2-digit number is either "01" or "56".<br>
"01" is not a 2-digit number.  "56" is; and it satisfies the condition that the number is 1 more than 5 times the sum of its digits.<br>
ANSWER: 56<br>