Tuesday puzzle

9/23/08, 11:09 AM #1

Dan Donaldson
Member
Offline
5,264 posts

Registered: 9/17/01

Tuesday puzzle

Here is a puzzle for this week.

The Postman delivers the mail in the small village named JustTen. This village has one street with exactly 10 houses, numbered 1 to 10. In a certain week, He did not deliver any mail to two of the houses in the village. At the other houses, he delivered mail three times each. Each working day, he delivered mail at exactly 4 houses.

The sums of the house numbers where he delivered mail were:

Monday-----18

Tuesday----12

Wednesday--23

Thursday---19

Friday-----32

Saturday---25

Sunday, obviously no mail is delivered on Sundays.

Which two houses did not get any mail that week?

- - -

I have been woodworking for about 25 years now, and would consider myself an enthusiastic amateur. My claim to fame (or infamy) has always been fixing stuff. I spent time in the Air Force in the 60's then went to work as an electronic technician for civil service. I finally got my EE, and being fed up with the civil service nonsense, took a job with Ford Motor Company until I went with the split to Visteon last year. I got interested in music and started playing in a bluegrass band. I wanted a new guitar, and that kind of led me into woodworking. I bought some books, a few tools, and built a guitar. Luckily, I didn't know any better than to try that as a first ever project. I still play it when I get a chance, so it must not be too bad if it can live for over 20 years. After a stint in Mexico for my job, I moved into a new house and built a small shop. Since then I have been collecting tools and skills, probably more of the former than the latter ;-). Finding this site has done more for my skills and enjoyment than anything else. I have learned a lot and really enjoy the friendships that I have made here. I have been married to LOML (Lori) for 32 years now and have 6 kids. When they are all gone, I want to get a 1 bedroom house (so there is not room for them to move back in) and at least a 6 car heated/air conditioned garage for a shop. (Dream on...)

Re: Tuesday puzzle

9/23/08, 1:34 PM #2

Alex Yeilding
Guest

Re: Tuesday puzzle

4 and 8

Sum 1-10 = 55

Sum of deliveries = 129

Since 3 per house, sum of house numbers getting deliveries = 43

So sum of house numbers not getting deliveries is 12

Only ways to get Tuesday's total of 12 are 1,2,3,6 and 1,2,4,5

Only ways to get Friday's deliveries of 32 are 6,7,9,10 and 5,8,9,10

Since 9 gets deliveries, so does 3

At this point, we know that 1,2,3,9, and 10 get deliveries.

The only possible pairs totaling 12 are 4,8 and 5,7.

But from Friday's deliveries, we know that either 5 or 7 must get deliveries, leaving 4 and 8 as the only possibilities.

I'll take your word for it that the totals on the other days are possible.

Re: Tuesday puzzle

9/23/08, 11:21 PM #3

Dan Donaldson
Member
Offline
5,264 posts

Registered: 9/17/01

;-)

- - -

I have been woodworking for about 25 years now, and would consider myself an enthusiastic amateur. My claim to fame (or infamy) has always been fixing stuff. I spent time in the Air Force in the 60's then went to work as an electronic technician for civil service. I finally got my EE, and being fed up with the civil service nonsense, took a job with Ford Motor Company until I went with the split to Visteon last year. I got interested in music and started playing in a bluegrass band. I wanted a new guitar, and that kind of led me into woodworking. I bought some books, a few tools, and built a guitar. Luckily, I didn't know any better than to try that as a first ever project. I still play it when I get a chance, so it must not be too bad if it can live for over 20 years. After a stint in Mexico for my job, I moved into a new house and built a small shop. Since then I have been collecting tools and skills, probably more of the former than the latter ;-). Finding this site has done more for my skills and enjoyment than anything else. I have learned a lot and really enjoy the friendships that I have made here. I have been married to LOML (Lori) for 32 years now and have 6 kids. When they are all gone, I want to get a 1 bedroom house (so there is not room for them to move back in) and at least a 6 car heated/air conditioned garage for a shop. (Dream on...)

Tuesday puzzle

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