All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Pairs of Prime Factors (Posted on 2009-05-24) Difficulty: 3 of 5
Two 2-digit numbers add up to a third 2-digit number. Each of the three numbers is the product of two primes. Each of the six primes is different.

If you take the two addends and combine the tens digit of one with the units digit of the other, and vice versa, they will of course add up to the same 2-digit number as before. But in addition, for these chosen numbers, the two mixed numbers (the new addends) are each also the product of two primes, and these six primes also are all different, but may contain repeats from the first set of six.

What are the numbers involved?

See The Solution Submitted by Charlie    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionsolutionDej Mar2009-05-24 19:34:44
mathematica solutionDaniel2009-05-24 15:08:38
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 (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information