# Need help with the third, help?

## A man removed his three-digit house number. The sum of the digits was 9, and the units digit was three times as large as the hundreds digit. The painters accidentally reversed the numbers... The new number is now 396 larger than the correct house number. What is this third equation?

Apr 14, 2018

The house number was 216.

#### Explanation:

If the third digit is three time the first digit and the digits sum to 9, then there are TWO possibilities for the house number. The house number could either be 153 or 216.

If the house number was 153, then

$351 - 153 = 198 \ne 396$.

If the house number was 216, then

$612 - 216 = 396$.

The house number was 216.