perplexus.info :: Weights and Scales : Pumpkins 3

Pumpkins 3 (Posted on 2014-01-22)

This is in continuation of Pumpkins and Pumpkins 2.

Six pumpkins - each having a different weight - are weighed two at a time in all 15 sets of two. The weights are recorded as: 27, 36, 39, 45, 48, 51, 54, 57, 63, 66, 72, 75 and 81 pounds.

Precisely two of the values occurred exactly twice, but these values were only written down once.
Each of the individual weights (in pounds) is a positive integer.

Derive the weights of the pumpkins and which two values occur twice.

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

The individual weights of the pumpkins are:
12, 15, 24, 33, 39, and 42,
For an explanation, refer to the analytic solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): Another Analytic Solution	Brian Smith	2016-01-26 11:11:29
re: Another Analytic Solution	Steve Herman	2016-01-26 11:03:11
Another Analytic Solution	Brian Smith	2016-01-26 00:21:27
re: computer solution - a bug somewhere	Brian Smith	2016-01-26 00:05:00
Analytical Solution (spoiler)	Steve Herman	2014-01-23 00:17:34
computer solution	Charlie	2014-01-22 11:38:11

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info