The Math Problem.

Question

There are 3 people trapped in an underground facility. One of them gets separated from the other 2 and reaches an exit where there are hundreds of doors all locked and numbered with a 3 number pass code. Fortunately they all had walkie talkie with them with which they could communicate.

When she reached the exit her radio broke and she couldn't listen to the others. She didn't know that her radio was still working. She kept it on anyways. And the other 2 kept on listening.

Suddenly one of the doors with a number started beeping and there was a voice announcing the following clues to her for the door pass code.

1. The product of the digits is 36 and the digits are in ascending order.
2. The sum of the digits is the number written on top of the door.
3. The largest number in the passcode doesn't repeat.

Being a perfect logician she figured out how to escape only after she listened to the 3rd clue and the door slammed shut behind her and her signal on the radio disappeared. Her friends were not able to figure out the number on the door for thier 2nd clue. But still they managed to get out. How come ?

Answer 1

The Door Pass cord = 149

From Clues:
The product of the digits is 36 and the digits are in ascending order. =

1 x 4 x 9 = 36

The sum of the digits is the number written on top of the door. =

1+4+9 = 14

The largest number in the pass code doesn't repeat. =

9 is not repeated

Comments

Why cant it be 236 ?

Answer 2

2,2,9 is the answer

Comments

Please explain how did you come to decide what the door number should be ?