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

Home > Numbers
From Six To One (Posted on 2006-10-31) Difficulty: 3 of 5
In the ten problems listed below, your task is to make the number shown in bold, using once and once only, all six numbers, which accompany it.
You may use any mathematical operations you wish, to arrive at the given number.
            784 1, 1, 5, 6, 8, 100
            327 6, 7, 8, 9, 9, 50
            931 3, 4, 7, 8, 10, 75
            425 2, 4, 6, 8, 9, 50
            489 2, 3, 4, 6, 10, 75
            845 4, 7, 8, 9, 9, 25
            763 2, 3, 4, 5, 6, 25
            599 2, 3, 4, 6, 7, 75
            291 4, 8, 9, 9, 10, 100
            143 1, 4, 5, 6, 9, 10

Is more than one solution possible for a problem? Please include them if you find some.

See The Solution Submitted by Josie Faulkner    
Rating: 4.4444 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Answer to the question (spoiler) | Comment 5 of 9 |

There is definitely more than one solution for each. Here are just a few for 784 using 1,1,5,6,8,100:

784((6 * 100) + 5!) + 8(1 + 1)
    = (600 + 120) + 82
    = 720 + 64


784 = ((!(5 - 1) - (6 - 1)) * 100) + 8!!
    = ((!4 - 5) * 100) + 384
    = ((9 - 5) * 100) + 384
    = (4 * 100) + 384
    = 400 + 384


784 = (6! + (100/1)) - (!5 - (8/1))
    = (720 + 100) - (44 - 8)
    = 820 - 36


784 = (8 * 100) - (!(5 - 1) + (6 + 1))
    = 800 - (!4 + 7)
    = 800 - (9 + 7)
    = 800 - 16


784 = (8/1) * (100 + 5 - 6 - 1)
    = 8 * 98
   


Here are just a few for 327 using 6,7,8,9,9,50:

327 = (8!! + 9) - ((50 + 6 + 7) + SQRT(9))
    = (384 + 9) - (63 + 3)
    = 393 - 66


327 = (50 * 6) + (9 + 8 + 7) + SQRT(9)
    = 300 + 24 + 3

327 = !6 + 50 + (9 + 9 - 8 - 7)$
    = 265 + 50 + 3$
    = 315 + 12


327 = (!6 + (50 + 9 + 8 - 7)) + !(SQRT(9))
    = (265 + 60) + !3
    = 325 + 2

Edited on November 1, 2006, 3:30 pm
  Posted by Dej Mar on 2006-11-01 04:29:28

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 (9)
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