## Wednesday, July 29, 2009

### Two Professors Bored

Two math professors (Frank and Julie) were on a long bus trip and were bored. Professor Frank, who had purchased both tickets, looked at five digits on his ticket and then the five digits on his friends ticket, which he was still holding.

The two tickets, purchased together, were consecutively numbered.

"Hey," Frank exclaimed. "When you add up all ten digits, you get 62."

"That is quite the coincidence, since we are on Bus 62," replied Julie.

Professor Julie then asked Frank "Is the sum of the numbers on either ticket, by any chance, 35?

After Professor Frank answered, Julie said "Well, now I know what the numbers on the two tickets are."

What were the two numbers?

1. If the sum of the numbers on one ticket is 35, there are lots of possibilities for what numbers the tickets would be.

If neither of the tickets has digits adding up to 35, the only possibility is 98999 and 99000.

So, Frank's answer must be "no" and the tickets must be 98999 and 99000.

2. Spoilers...?

98999 and 99000

3. I had to give up on this math one, I did try just for the record! hahaha those professors must have been REALLY bored that they would do that complicated math thing :)

4. Yeah...
That took me a while...

If neither of the tickets has digits adding up to 35, the only possibility is 98999 and 99000.

So, Frank's answer must be "no" and the tickets must be 98999 and 99000.

5. You guys are good! I thought this one would stump you all.

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