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Posers and Puzzles
Joined 12 Sep '07 Moves 2668 Many of you may have done something similar before.
You are given four numbers, and you must use each number exactly once. You may only use multiplication, division, addition and subratction and parentheses. You must come up with expression that equals 24. 'Joining' numbers is not allowed, for example if you had a 1 and a 3, you may not simply join then to make 13, or 31. Exponentials are no allowed. This includes roots and recipricals.
So the challenge is, make 24 from these sets of numbers
1 2 3 4
1 2 3 5
1 2 3 6
1 2 4 5
1 2 4 6
1 2 5 6
1 3 4 5
1 3 4 6
1 3 5 6
1 4 5 6
2 3 4 5
2 3 4 6
2 3 5 6
2 4 5 6
3 4 5 6
Out of those, 1346 is by far the most difficult. I'll post the people who have solved each one next to it.
Banx99, stay away please.
ALG
Joined 16 Dec '07 Moves 6190 1 x 2 x 3 x 4 = 24
(1 + 2) x (3 + 5) = 24
(2 + 3 - 1) x 6 = 24
(5 + 2 - 1) x 4 = 24
(6 + 2) x (4 - 1) = 24
(5 - 2 + 1) x 6 = 24
(5 + 4 - 1) x 3 = 24
I solve this later (I hope)
6 x 3 + 5 + 1 = 24
-
(3 + 4 + 5) x 2 = 24
6 x 3 + 2 + 4 = 24
6 x 5 - 2 x 3 = 24
6 x 5 - 2 - 4 + 24
- I have to go now
(many edits because I first solved 1, then 2 etc.)
Joined 15 Oct '07 Moves 4056 i wonder if i can remember all of them
i know i can remember 1346 but the others i havnt done for a while
what about mking 41 using 2, 6, 8, 10 and 11 still remember?
EDIT: i wonder if 1,3,4,6 and 1,4,5,6 use the same technique or is there an easier way
ALG
Joined 16 Dec '07 Moves 6190 Originally posted by banx99
i wonder if i can remember all of them
i know i can remember 1346 but the others i havnt done for a while
what about mking 41 using 2, 6, 8, 10 and 11 still remember?
EDIT: i wonder if 1,3,4,6 and 1,4,5,6 use the same technique or is there an easier way I only don't know the technique
Joined 03 Oct '07 Moves 3273 using 1 3 4 6:
6 / (1 - 3/4)
= 6 / (1/4)
= 24
another one to try: 5 5 5 1
Joined 15 Oct '07 Moves 4056 using 2, 6, 8, 10 and 11, see how high you can get starting from 24
in other words, get 25, 26, 27 etc etc
so far im past 50
Out of my mind
Joined 25 Oct '02 Moves 20443 To quote one of the regulars here:
"SOLV'D".
Joined 15 Oct '07 Moves 4056 Originally posted by TheMaster37
To quote one of the regulars here:
"SOLV'D". mine or fianchettos?
EDIT: any help would be nice, i cant find an answer for 76
Out of my mind
Joined 25 Oct '02 Moves 20443 Originally posted by banx99
mine or fianchettos?
EDIT: any help would be nice, i cant find an answer for 76 I'm referring to the 24 problem 🙂
(1 - 1/5) * 5 is the one for 1, 5, 5, 5
Joined 12 Sep '07 Moves 2668 I suppose you mean (5-1/5)*5
Out of my mind
Joined 25 Oct '02 Moves 20443 Originally posted by Dejection
I suppose you mean (5-1/5)*5 Indeed I do 🙂
I gave this to one of my classes the other day. They have never been that quiet in the entire year :p
Joined 15 Oct '07 Moves 4056 still wondering why no one can seem to solve for 76 using 2,6,8,10 and 11
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