Originally Posted by Lee Vilenski
Announcement
Collapse
No announcement yet.
Puzzles with numbers and things
Collapse
X
-
Originally Posted by Lee VilenskiWow. Do you have to use the wieght? Because it would help if I knew how much a snooker ball wieghed.
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..."If anybody can knock these three balls in, this man can."
David Taylor, 11 January 1982, as Steve Davis prepared to pot the blue, in making the first 147 break on television.
Comment
-
Originally Posted by Lee VilenskiSo 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, 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.... ?"If anybody can knock these three balls in, this man can."
David Taylor, 11 January 1982, as Steve Davis prepared to pot the blue, in making the first 147 break on television.
Comment
-
Originally Posted by Lee VilenskiRight well you can't divide 147899 by any integer...
Edit: I just found this site, which might help you...
http://www.btinternet.com/~se16/js/factor.htm"If anybody can knock these three balls in, this man can."
David Taylor, 11 January 1982, as Steve Davis prepared to pot the blue, in making the first 147 break on television.
Comment
-
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...."If anybody can knock these three balls in, this man can."
David Taylor, 11 January 1982, as Steve Davis prepared to pot the blue, in making the first 147 break on television.
Comment
-
Originally Posted by Lee VilenskiAh yes!
(n2 + n - 2) = (n - 1)(n+2)
OK, someone please, post it. Time to move on...."If anybody can knock these three balls in, this man can."
David Taylor, 11 January 1982, as Steve Davis prepared to pot the blue, in making the first 147 break on television.
Comment
Comment