Heard of Mock Turtle ?
Can you replace "?" using Mock Turtle's Arithmetic* and make the statement true ?
? 1 ? 2 ? 3 ? 4 ? 5 ? 6 ? 7 ? 8 ? 9 = 10
* The Mock Turtle went on. “We had the best of educations . . . Reeling and Writhing, of course, to begin with, and then the different branches of Arithmetic—Ambition, Distraction, Uglification, and Derision.”
? 1 ? 2 ? 3 ? 4 ? 5 ? 6 ? 7 ? 8 ? 9 = 10
* The Mock Turtle went on. “We had the best of educations . . . Reeling and Writhing, of course, to begin with, and then the different branches of Arithmetic—Ambition, Distraction, Uglification, and Derision.”
Labels: bcreative, mathemagic
posted by Rajesh Lal at
9:26 AM
28 Comments:
Well that is puzzleing but abviously:
Ambition=Addition, Distraction=Subtraction,
Uglification=Multiplication,
and Derision=Division.
I'm still working on how you get
?1?2?3?4?5?6?7?8?9 to equal 10 anyone got a clue?
i'm just winging this but
1+2-3+4-5+6-7+8 and then i don't get the last one but it's as close as i got
The clue is the first question mark.
sqrroot(1+2+3+4+5+6+7+8*9)
Good job gbusman, but it didn't say we could use square root, only addition, subtraction, multiplication, and division
One way to do it with that in mind is
(1-2-3+4-5+6)*(-7+8+9)=10
It didn't say we could use parenthesis either, so if someone comes up with one where parenthesis are not used, you rock!
*parentheses
or
*parenthetical notation
(I don't like typo's)
It's not that hard:
+1+2*3-4+5-6+7-8+9
I think there are many answers to the problem Miguel is correct and probably the right answer. I managed to get
(1+2)/3+4+5+6-7-8+9=10
+1+(2*3)+4-5-6-7+8+9
There are exactly 172 answers without using '(' (I cheated and made a small C program, but I used my head in the first solution I posted). My favourite one is:
-1/2*3*4*5+6+7+8+9+10=10.
ooooooopssss!!! sry, no ten in the original problem... I'll check again
There are 73 solutions without using '('. Here is a nice one:
-1-2/3/4-5/6*7+8+9
here's a challenge,can anybody do it with only 2 kinds of symbols? i'm not sure if it's possible, but I'm working on it.
Dillon
miguel tato i think its not correct.u r solution leaving a fraction
there is no solution with only two operators, although there are several that use them all.
-1-2/3/4-5/6*7+8+9 = -1-2/12-35/6+8+9 = -1-36/6+8+9 = -1-6+8+9 = 10. If this is wrong, than I found a huge bug in excel!! :)
-1-2/3/4-5/6*7+8+9
= -3/3/4-5/6*7+8+9
= -1/4-5/6*7+8+9
= -0.25-5/6*7+8+9
= -5.25/6*7+8+9
= -0.875*7+8+9
= -6.125+8+9
= 1.875+9
= 10.875
/ and * take precedence over + and -. So, -1-2/3 = -5/3 = -1.666(6) and not -3/3 = -1
All of Miguel's solutions are correct if you follow the proper order of operations (which nobody out of middle school should remember).
I wish we could take the acceptable operators further, though, so I could present my brilliant solution:
1^2^3^4^5^6^7^8+9=10
brilliant in deed!! but out of the mocking turtle scope... :) I guess they don't study powder...
I think James has the idea. The problem never says to use more than one notation, not does it say that power is not allowed. We only need to think outside of the box! =)
-1+2+3+4-5*6-7+8-9=10
This only works as long as the mathematic principle of PEMDAS is ignored.
The only distraction was this puzzle.
wow...nice...now anyone wanna help me with my math homework?....lol
I got two ans. if use parenthesis then this
(1-2-3+4+5-6)7+8+9=10
(-1)7+8+9=10
-7+8+9=10
1+9=10
if not then this
1-2-3+4*5-7+8+9=10
1-2-3+20-7-8+9=10
30-20=10
10=10
solution 1: +1+2+3-4+5-6+7/8+9
solution 2: +1*2*3-4+5-6+7/8+9
left to right order of execution
another way:
1*2+3-4+5-6-7+8+9=10
you have to have a negative at the beggining...
ANSWER
---------------------
- 1 * 2 + 3 - 4 - 5 - 6 + 7 + 8 + 9 = 10
correct answers
---------------------
+1+2*3-4+5-6+7-8+9 -> Miguel Tato
-1-2/3/4-5/6*7+8+9 -> Miguel Tato
+1*2+3-4+5-6-7+8+9 -> Anonymous guy
Other "right" answers
---------------------------
1^2^3^4^5^6^7^8+9 --> james
(Mock Turtle's Arithmetic will include "povar" from this year)
A friend said any equation will suffice if the equal tosign can be changed to unequal sign. IMO that was out-of-the-box
--------------------------
they said that they use those four things, they naver said that they didnt use other things too.
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