Round 2, FIGHT! Or, um... Think?! Do something, quick. Welcome back to BYOB, where we give you the opportunity to display your giant brain to get the respect you deserve. Or something like that anyway. Here are the answers from last issue:
Simply list out all the possible sets of three integers whose product is 36 (there are only 8), eliminate those with unique sums (since knowing the sum didn't produce an answer), and you are left with 9, 2, 2 and 6, 6, 1. Once you know there *is* an eldest child, you know the answer must be 9, 2, 2. Any information could have been presented about the eldest child, maybe it's just that I have a thing for red hair.
In case you missed my pun there, I called the problem "A Tribute to Albert" and then mentioned that it is a-t(t)ributed to Albert Einstein, get it now? Anyway, the German owns the fish, probably swimming in green coffee with some golf balls, which is quite disturbing actually. Full solution from first to fifth house: Norwegian/Yellow/Water/Chess/Cats, Dane/Blue/Tea/Poker/Horses, Brit/Red/Milk/Tennis/Birds, German/Green/Coffee/Golf/Fish, Swede/White/Beer/Billiards/Dogs.
Six submissions this week, keep up the good work. Adam Weatherhead returned with his devious "submit to only one problem" paradigm, and gets 1/3 for it, as did Michael Cicconi, Frogg missed some of the number statements and gets 2.85/3. Scot Nyback, MGAJ and Catherine Hicks all aced last issue's puzzlers and gets the BYOB thumb of approval (which in reality isn't a thumb, you think about that). So it goes to tie breakers, and although Scot's made me laugh, it wasn't actually a problem. It seems Catherine's tiebreaker edges out MGAJ's (check out the winning tiebreaker for yourself in this week's problems) so Ms. Hicks, come on down to MC3038 (Mathie Rehab Center) to pick up your C&D gift certificate.
Since we often have ties (and I'm not talking about the kind tied to your bedposts) we need a tiebreaker. So: submit a riddle/puzzle/brain teaser along with full solution, and in the event of a tie, our favourite will win. This has the added benefit that we might use your puzzle, which means you'll be a real published author (appearing in the National Archives of Canada and everything). And the added added benefit of saving MY brain a little. So don't forget those tiebreakers!
Answers must be in by 6pm on Valentines day, so put down your significant other (gently) and get your answers in, then pick your significant other back up and perhaps replace the word put with go and add an on in there. You can submit to them or to me, your choice; be safe, submit to both. Drop off those answers at the BLACK BOX, between the C&D and Comfy, or email us at mathNEWS@student.math.uwaterloo.ca">mathNEWS@student.math.uwaterloo.ca, or play the ever fun game of Find the Snuggles to submit in person (tops optional). If you don't submit, I'll find someone who will! Now that I think about it, I'll do that anyway.
Using all the numbers from 0 to 9 exactly once, create an equation in which two 3-digit numbers sum to a 4-digit number. (E.g.: 246+789=1035) For full marks give at least 10 more equations that satisfy those conditions. (there are 48 in total).
Please briefly explain why as well for each answer:
Each clue leads to two words (or phrases) that are phonetic reverses of each other. That is, flipping the syllables of the word phonetically gets you the second word. (E.g. Impertinent and Teeter totter become Saucy / Seesaw).
That's it folks, enjoy the problems, don't forget to submit, and please, solve responsibly.
Mayor of Snuggles-town