SOLUTION: 1) I am a 2-digit number less than 90. 2) Three more than my value is an even number. 3) The sum of my digits is a multiple of 8.

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Question 582523: 1) I am a 2-digit number less than 90.
2) Three more than my value is an even number.
3) The sum of my digits is a multiple of 8.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
2) Three more than my value is an even number.

This is just a "tricky" way of saying "I am an odd number."

3) The sum of my digits is a multiple of 8.

Since we have a 2-digit number, the digit sum must be either 8 or 16 (24 is too large). If it is 8, then we have 71, 53, 35, 17. If it is 16, we have 79 (97 is too large).

Therefore all the possible numbers are 17, 35, 53, 71, and 79.