### Brain Teasers

# Guess My House

Mac'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," Mac said. "You've each guessed exactly one digit correctly and in its right place!"

What is Mac's house number?

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

What is Mac's house number?

### Hint

The fact that three guesses began with a 7 will give you a good start.### Answer

182Solution:

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 - 2.

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