# Maya's new house number has three digits. When she challenged her friends..................What is Maya's house number?

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Maya's new house number has three digits. When she challenged her friends to guess it, they tried: 135, 780, 785, and 732.

"That's amazing," Maya said. "You've each guessed exactly one digit correctly and in its right place!"

What is Maya's house number?

posted Nov 4, 2015

182

Solution:
The first digit must be 1 or 7. It can't be 7 as only one digit is correct in each guess. So it's 1.

The other digits in guess #1 (i.e. 3 and 5) must be incorrect. Therefore, from guess #3, the second digit is 8.

Guess #4 has a correct digit which must be its third ie 2.

182 is Maya's House number
0, 1, 3, 5, 7, 8 are the only possible correct digits
Left most could be 1 or 7
Middle could be 3 06 8
Rightmost digit could be 5 or 0 or 2

Trying out a few combinations 182 fits the problem conditions

182..............................

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