### Brain Teasers

# Three Digit Number 2

There is a three digit number. The sum of the digits is 17, and two of the digits are the same. The unique digit subtracted from one of the other digits equals a positive even number. What is the digit that is different from the other two digits?

### Answer

If two of the numbers in the digit are the same, and the sum equals 17, the possible digits are 449, 557, 665, 773, and 881. Now you must subtract the unique digit from one of the other digits to get a positive even number. 449 and 557 result in negative numbers, so neither of them can be the answer. 665 results in 1, 773 results in 4, and 881 results in 7. 4 is the only one that is even, therefore, the digits have to be 7, 7, and 3.Answer: 3

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