***************************************************************** ****** Congratulations to all who entered! ******* ***************************************************************** ~ Winners/Solvers of puzzle #504 ~ ***************************************************************** **** the expected answer **************************************** Eric Furubotten 324 342 Highland school - Santa Clarita, U.S.A. I solved the problem by finaly thinking about 3 times 8, and 4 times 6, and noticed they both were 24. As I did the others I also noticed they also were 24 and they were in order to least to gratest. Then came up with the anwsers 324 and 342. Taylor Mulqueen, Wynne Shatkus & Jenna Hawes found the solution but the numbers weren't the next in order 432, 423 Highlands School - Saugus USA **** a solution with 1's **** great! *** 318 324 **************** Alastair Currie Edinburgh Scotland The digits of each number multiply to 24. ********** a partial answer 342 ********************************* Bob Devens 334 342 Monkey Mia WA **** expected answer another reason ***************************** Joel Class 5/6 Percy Merry P.S. Milton, Ontario , Canada all of numbers have mirror images except 262 which is its own mirror image the numbers are in order from smallest to largest our answer is 324 and 342. 38=83 , 46=64 , 226=622 , 234= 432 , 243=342 , 262=262 , etc our answer is 38,46,64,83,226,234,243,262, _324_ , _342_ ,423,432,622 ********** another solution 414 422 ***************************** Elda Nallbani Tirana - Albania The sum of digits are: 11, 10, 10, 11, 10, 9, 9, 10 so the sum of the two last numbers must be 9, 8. 38-26=12, 26-12=14 so the next number is 414 (4+1+4=9) and the next 422 (34-12=22, 4+2+2=8) ******** But why? one of many unexplained guesses *************** Mitchell Hamelin - Grade 6 Tecumseh Public School feels the series goes: 38, 46, 83, 226, 234, 243, 262, (356), (365), 423, 432, 622 ***************************************************************** ****** Congratulations to all who entered! ******* *****************************************************************