Step Two: If they balanced, weigh two of the three previously unselected coins, or if they didn't balance, the heavier side. If they balance, the last coin is the heavy one. If not, it's (obviously) the heavier one.
Step Two: If they balanced, weigh two of the three previously unselected coins, or if they didn't balance, the heavier side. If they balance, the last coin is the heavy one. If not, it's (obviously) the heavier one.
Uhm, put one coin in each side of the balance, one by one, one goes in left, and one in right, then keep doing that until you get a coin that makes it uneven, if you get to 8 (four right and four left) and it still not uneven then the last one left should be it.
you can do it with four coins eack as well put four on each side if it leans the the heavier side has the coin if it doesnt lean the coin left out is the coin you are looking for
Weigh any 3 on one side and any 3 on the other. If you find both weigh the same, then the heavier coin is in the remaining 3. In this case, you take any 2 of those and weigh them 1 per side. You will see that the heavier coin is being weighed, or the 2 coins are the same weight so the heavier coin remains. In the instance that after the initial weighing you find one side heavier than the other, repeat the process of weighing the 3 again by means of 1-to-1 and finding the heavier as before.
I initially thought it'd be 4 against 4, but that could take 3 weighings. 3 against 3 would get it down to exactly 2 weighings, like MultiMitchell7 explained. Hey, @misteriddle do you have the version of this puzzle, where there are 12 such coins, and we know that exactly one from amongst these 12 is different, but do not know whether it's heavier or lighter than the rest, and we need to find that coin in a max of 3 weighings..?
@argumentativeindian Yep, I've heard of that riddle. It has a longer explanation though, doesn't it? If I have time I'll try and make that video as well... Bit busy at the moment. ;p
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Step One: Three coins on each side.
Step Two: If they balanced, weigh two of the three previously unselected coins, or if they didn't balance, the heavier side. If they balance, the last coin is the heavy one. If not, it's (obviously) the heavier one.
forgingiron123 1 month ago
prospecops 1 week ago
Step One: Three coins on each side.
Step Two: If they balanced, weigh two of the three previously unselected coins, or if they didn't balance, the heavier side. If they balance, the last coin is the heavy one. If not, it's (obviously) the heavier one.
forgingiron123 2 months ago
@forgingiron123 Brilliantly explained! =D
misteriddle 2 months ago
Uhm, put one coin in each side of the balance, one by one, one goes in left, and one in right, then keep doing that until you get a coin that makes it uneven, if you get to 8 (four right and four left) and it still not uneven then the last one left should be it.
xShadow125 2 months ago
@xShadow125 The thing is, it has to be done in 2 moves, but if you put them in one by one, it could take up to 8 moves...
misteriddle 2 months ago
you can do it with four coins eack as well put four on each side if it leans the the heavier side has the coin if it doesnt lean the coin left out is the coin you are looking for
MrPoohbear2218 3 months ago
@MrPoohbear2218 Let's say it does lean to one side, how would you know which coin it is from that pile of 4 coins?
misteriddle 3 months ago
Weigh any 3 on one side and any 3 on the other. If you find both weigh the same, then the heavier coin is in the remaining 3. In this case, you take any 2 of those and weigh them 1 per side. You will see that the heavier coin is being weighed, or the 2 coins are the same weight so the heavier coin remains. In the instance that after the initial weighing you find one side heavier than the other, repeat the process of weighing the 3 again by means of 1-to-1 and finding the heavier as before.
TheBbk8 4 months ago
@TheBbk8 Excellent explanation!
misteriddle 4 months ago
took me about 4 min
Dimcair 6 months ago
@Dimcair You're pretty clever!
misteriddle 5 months ago
Here's a riddle for you misteriddle i have four coins in my left hand, i take two away, how many coins do i have?
blendistars 6 months ago
@blendistars Hmmm.... 4?
misteriddle 6 months ago
@misteriddle no 8 because i also had four in my right hand :P
blendistars 6 months ago
@blendistars Erm... I think I get it!
misteriddle 5 months ago
huh?
iceman04able 6 months ago
@iceman04able Erm...
misteriddle 6 months ago
Very interesting and quite fun to think about! However, after a few minutes, it becomes pretty obvious :(
547dagger547 7 months ago
@547dagger547 Good to read that you worked it out!
misteriddle 7 months ago
man is your name cvetan?
joda294 8 months ago
@joda294 Erm, Nope... Why do you ask?
misteriddle 8 months ago
I initially thought it'd be 4 against 4, but that could take 3 weighings. 3 against 3 would get it down to exactly 2 weighings, like MultiMitchell7 explained. Hey, @misteriddle do you have the version of this puzzle, where there are 12 such coins, and we know that exactly one from amongst these 12 is different, but do not know whether it's heavier or lighter than the rest, and we need to find that coin in a max of 3 weighings..?
argumentativeindian 9 months ago
@argumentativeindian Yep, I've heard of that riddle. It has a longer explanation though, doesn't it? If I have time I'll try and make that video as well... Bit busy at the moment. ;p
misteriddle 9 months ago
SPOILER ALERT!!!
you can weigh 3 coins on one side and 3 coins on the other.
If neither side leans, you weigh 2 of the coins that you left out at first. If the scale doesn't lean, then the coin is the one you left out.
If the scale leans at first, you put 2 of coins of the heavier side on. If the scale doesn't lean then, the coin is the one that you left out
MultiMitchell7 10 months ago
@MultiMitchell7 Very nicely explained!
misteriddle 10 months ago