Puzzles with numbers and things

[davis_greatest]

Ah yes!
(n2 + n - 2) = (n - 1)(n+2)

And so... what is the answer to the original question?

OK, someone please, post it. Time to move on....

[Lee Vilenski]

Ah yes!
(n2 + n - 2) = (n - 1)(n+2)

[davis_greatest]

Round 163.... OK, I've had some right and some wrong answers... for those still trying, here are some more (big ) clues:
If a triangle has n rows, then it has n(n+1)/2 balls.
(For example, a triangle of reds in snooker has n=5 rows, and 5 x 6 / 2 = 15 balls.)

Now each "triangle" has 1 ball missing, so it has
n(n+1)/2 - 1
= (n² + n - 2)/2 balls

So the two "triangles" (each with a ball missing) comprise (n² + n - 2) balls in total.

We can factorise this as
(n² + n - 2) = (n - ?)(n+ ?)

So there are ??? rows of ??? balls each....

[Lee Vilenski]

131 by 1129. So then, I have to find the number of balls left in the Rectangle. So, we have 1129 balls, from 1 line. So, The number of balls in the rectangle has to be even.

[snookersfun]

lol guys!
Lee, did you find the factors yet?
I shall wait with putting up the answer...

[davis_greatest]

Right well you can't divide 147899 by any integer...

Haha... of course you can!

Edit: I just found this site, which might help you...
http://www.btinternet.com/~se16/js/factor.htm

[Lee Vilenski]

Right well you can't divide 147899 by any integer, well, I couldn't find one, so, let me guess, it was just one long line of balls?

[davis_greatest]

So if you've got, 147.899kg then you have 147,899 grams. You also have to find a (triangular number -1)*2. Triangle Numbers are 1, 3, 6, 10, 15 ect. So I'm looking for a number that , 0, 2, 5, 9 ect.


Am I on the right lines?

Yes, 147899 grams and yes, you're on the right lines

Yes, the number of balls in each "triangle" (with one ball missing) could be 2, 5, 9 etc. Remember there are 2 triangles, so there will be twice as many balls as that. And then all the balls are placed in a rectangle, longer that it is wide, but as wide as possible.

You need to find the factors of 147899. Then one row of balls weighs 147899 grams, so the number of balls in a row of the rectangle is.... ?

[Lee Vilenski]

So if you've got, 147.899kg then you have 147,899 grams. You also have to find a (triangular number -1)*2. Triangle Numbers are 1, 3, 6, 10, 15 ect. So I'm looking for a number that , 0, 2, 5, 9 ect.


Am I on the right lines?

[davis_greatest]

Wow. Do you have to use the wieght? Because it would help if I knew how much a snooker ball wieghed.

You have to use the fact that (in this puzzle) every ball weighs the same and every one weighs a whole number of grams.

And, another clue... a snooker ball weighs much more than 1 gram and much less than 1 kg. You don't need any more info than that...

[Lee Vilenski]

Wow. Do you have to use the wieght? Because it would help if I knew how much a snooker ball wieghed.

[davis_greatest]

Edit, Sorry, I meant 79

OK... still bigger....

[Lee Vilenski]

Edit, Sorry, I meant 79

[davis_greatest]

I believe the answer to 163 is 7. If I'm wrong (And I probaby am) Tell me.

How did you get 7? But do keep going... it is quite a bit bigger than that...

[Lee Vilenski]

I believe the answer to 163 is 7. If I'm wrong (And I probaby am) Tell me.