Puzzles with numbers and things

[davis_greatest]

???? bidding: 9 bananas for Gwen, 4 to Barry????

Good opening bid! I'm sure that we can get little Gwendoline more than 9 bananas though to welcome her.

[Monique]

OK then my bid would be for Gwendoline to keep 9 bananas while Barry finishes with 4.

Ooops collision!

[davis_greatest]

OK then my bid would be for Gwendoline to keep 9 bananas while Barry finishes with 4.

Ooops collision!

looks rather like snookersfun's!

[Monique]

true she posted it while I was typing it ... collision of posts and minds.

[snookersfun]

does the pack have to be laid out in triangular form?

If not I could maybe come up with Gwen keeping 12 bananas, if my equilateral all works out

[davis_greatest]

does the pack have to be laid out in triangular form?

Yes, the 10 reds start in a triangle, as in the picture.

[snookersfun]

11 bananas?

[snookersfun]

sorry, 11 for Gwen, 4 for Barry still

[davis_greatest]

sorry, 11 for Gwen, 4 for Barry still

Congratulations snookersfun with the 11 bananas!

Anyone else want to explain how Gwendoline can keep so many?

[snookersfun]

R. 322: balls in bags

so the long-ish story:
Charlie did some house cleaning in honour of the upcoming World-Championship and found a variety of snooker balls in the strangest places all over the house. He decides to keep balls found in separate places in different bags. In the end he takes count and notices that he has 6 bags, containing 15, 19, 18, 16, 20, and 31 balls respectively. Just then his friends Gordon and Oliver pop in, so Charlie decides to give one of the bags to Oliver and several bags to Gordon but making sure that the rest of the bags, which he plans to keep for himself, contain twice the amount of balls that Gordon received.

and short question: How many balls are in the bag that Oliver received?

answers on thread or by PM

[PaulTheSoave]

Pass, I only do grids.

but this time will torture my brains for 3 minutes.
hidden text,

20 oliver - 15, 18 = 33 Gordon - 16, 19, 31 = 66 Charlie

[snookersfun]

Congratulations to PTS, Mon, and d_g
20 balls for Oliver is the right answer.

and with that straight into
R.323: Trios

Using the digits 1-9 once each to form trios of 3 digit numbers, such that second number is twice the value of first and third three times the value of first, how many of those trios can you find (and what are they)?

[snookersfun]

As I am having two correct answers for R. 323, we might meanwhile as well move on to

R. 324: Algebra
please find numeric solutions to
a)
-SEND
-MORE
------
MONEY


b) AlFA+BETA+GAMA=DELTA (find one of several possible solutions)

and I just edit in part c) now:

ABCB - DEFC = GAFB
-: ----- + ----- -
DH - x -- AB = -- IEI
-------------------------
GGE +- DEBB = DHDG

[snookersfun]

update:

Mon has solved parts a)-c) of R. 324 rather quickly. Congratulations
Anybody else?


Meanwhile R 325: Ape Logic

Charlie, Oliver, Gordon and Gwendoline are playing number games. Charlie picks two natural numbers bigger than 1, tells Gordon the sum of them and Oliver their product.

The following exchange takes place now:
Oliver: I don't know the sum
Gordon: I knew that. The sum is smaller than 14.
Oliver: That I knew and now I do know the numbers.
Gordon: I do, too, now.

Of course at that point also Gwen pipes in: Even I know them now!!

What are the two numbers?

[snookersfun]

R 325 has been solved by Monique and d_g, congratulations
R 324 d_g could have solved them 20 years ago

anyway leaving those rounds open until after the weekend (maybe Abextra will join us then. Of course any other input very welcome as well).