Stupid problem

Jeanious

Hey, does anyone know, in the game of darts, what three trebles make up a hundred?

They dont have to be the same (obviously impossible).

So from the numbers, 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,and 60, which three of these add up to 100? is it possible?

Adam

Its impossible but I couldn't tell you why...

biko

Try Darts. They should know http://www.boards.ie/vbulletin/forumdisplay.php?f=620

Jeanious

biko wrote:

Try Darts. They should know

Done. Anyone know? Apparently it can be done aright, but i dunno how.

Pal

100 is not divisible by 9.

i believe it is impossible.

Diarmsquid

The easiest way of finding out would be to throw the darts untill you get the combination.

But I don't think it's possible.

Pigman II

When you add any 3 numbers that are all a multiple of 3 then their sum will also be a multiple of 3. Since 100 is not a multiple of 3 it cannot be an answer for any combination.

Ay Cee

It could be a riddle. You said what 3 trebles. Not necessarily the same number 3 times. My maths sucks so I'm not gonna give you examples

Wolf

Pigman II wrote:

When you add any 3 numbers that are all a multiple of 3 then their sum will also be a multiple of 3. Since 100 is not a multiple of 3 it cannot be an answer for any combination.

Bingo.

As far as I am awear you have to throw at least 1 double or a bull's eye if you want to end with 100 in darts.

Jeanious

Pigman II wrote:

When you add any 3 numbers that are all a multiple of 3 then their sum will also be a multiple of 3. Since 100 is not a multiple of 3 it cannot be an answer for any combination.

correct, i never even thought about that! cheers anyway

Sam Vimes

i'm not sure if this is what you mean but i wrote a little program to add them all in turn, e.g.
3+3+3=9
3+3+6=12
3+3+9=15
3+3+12=18
.
.
.
.
.
.
3+6+3=12
3+6+6=15
3+6+9=18
3+6+12=21
3+6+15=24
3+6+18=27
.
.
.
.
3+9+3=15
3+9+6=18
3+9+9=21
3+9+12=24
.
.
.
.
3+12+3=18
3+12+6=21
3+12+9=24
3+12+12=27

etc and none of the combinations added up to 100. the closest was 102. is that what you were asking?

blu_sonic

the closest is 99
12+27+60

Sam Vimes

blu_sonic wrote:

the closest is 99
12+27+60

i just kind of scrolled through 101Kb of numbers and spotted 102. it may well have been 99

Dooom

Yeah it is 99, just trying to do it in my head there.
I can get to 100 dammit! I can!

chakotha

3x + 3y + 3z =100

So
x + y + z = 100/3 = 33 1/3 Impossible.

No 3 numbers on a dartboard add up to 33 1/3

Wot no?