# Puzzle #38: Bacon!

Mom cooked up some bacon strips and left them out for her guys (Dad and three sons) to fend for themselves.

The first son took his fair share of one-quarter plus three more. (“Hey, I was hungry!”)

The second son took his fair share of one-third of the remainder plus two more. (“I’m still growing, you know!”)

The third son took his fair share of one-half of the remainder plus two more. (“Don’t look at me. The other guys are the pigs!”)

This meant that dad Did not get any. How strips of bacon did Mom cook?

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, February 26, 2014 at noon Pacific Time. I will post the answer shortly after.

# A Lack of Commitment

Saying no to someone would be rude, wouldn’t it? So when asked if one will be attending a club party, one should never say no.

I got caught by this several years ago. I was a member of a Toastmasters club (http://www.toastmasters.org/). A Christmas party was planned. When members were asked if they would be attending, it seemed that few wanted to say no. I should paid more attention to their lacklustre yeses.

I attended, because as an incoming member of the executive, I figured that I should. It turned out that only four of about two dozen of us showed up. One was the member whose house the party was held at.

I missed out on most of another very good party as a result.

Commitment does not hurt, but you can not tell that by some people’s behaviour.

# Puzzle #37: Mystery Number

I am thinking of a four-digit number.

1) Two consecutive digits of the number form a two-digit square (as in 36 in 2365).
2) The number has no zero digits.
3) No three consecutive digits are an increasing sequence (as in 123) or a decreasing sequence (as in 643).
4) All of the digits of the number are different.
5) When the number is divided by 5, the remainder is 4.
6) The number has no odd digits.

What is the number?

Submit your answer to Gene Wirchenko <genew@telus.net>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, February 19, 2014 at noon Pacific Time. I will post the answer shortly after.