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L _ L Y Clue
THE CHILDREN ARE 1, 6 AND 6 YEARS OLD. THE PRODUCT OF THEIR AGES IS 36, SO NONE OF THEM CAN BE OLDER THAN 36. THE NUMBER 36 HAS TO BE EXPRESSED AS THE PRODUCT OF 3 NUMBERS. THEIR POSSIBLE AGES ARE (THE SUM OF THEIR AGES IS IN BRACKETS): 1, 1, 36 (3938) 1, 2, 18 (21) 1, 3, 12 (16) 1, 4, 9 (14) 1, 6, 6 (13) 2, 2, 9 (13) 2, 3, 6 (11) 3, 3, 4 (10) SINCE CHERYL IS TOM'S NEXT DOOR NEIGHBOUR, TOM KNOWS CHERYL'S HOUSE NUMBER. TOM WOULD KNOW THE CHILDREN'S AGES IN EVERY CASE THAT SUMS UP TO A UNIQUE NUMBER EXCEPT FOR THE SUM OF 13, WHICH HAVE 2 COMBINATIONS OF POSSIBLE AGES. AS A RESULT, TOM WOULD BE CONFUSED AS HE HAS TO PICK BETWEEN THE 2 COMBINATIONS: (1,6,6) AND (2,2,9). CHERYL THEN TELLS TOM ABOUT HER YOUNGEST CHILD WHO LIKES STRAWBERRY MILK WHICH TELLS TOM THAT THERE IS ONLY 1 YOUNGEST CHILD DAUGHTER-IN-LAW. HER DAUGHTER'S FATHER IS HER HUSBAND. THIS MEANS JOHN'S SON IS HER HUSBAND, SO JOHN IS HER FATHER-IN-LAW, MAKING HER THE DAUGHTER-IN-LAW JEFF KILLED MIKE. JACK IS NOT THE MURDERER, BECAUSE HE IS THE BROTHER OF THE MURDERER. DAN CAN'T BE THE MURDERER SINCE HE RAN A MARATHON, AND THE MURDERER RECENTLY HAD HIS LEG AMPUTATED, AND WOULDN'T BE RUNNING A MARATHON OF ANY MAGNITUDE THAT QUICKLY. BEN IS NOT THE MURDERER IF HE JUST MET JACK, SINCE JACK AND THE MURDERER GREW UP TOGETHER. THIS LEAVES JEFF AND MIKE. SINCE JEFF IS STILL ALIVE (HE WANTS TO INSTALL A NEW COMPUTER NEXT WEEK) HE MUST BE THE MURDERER. MIKE ALSO DIDN'T GROW UP WITH JACK. IT HAS BEEN DETERMINED THAT JACK, DAN AND JEFF ARE ALL ALIVE. BEN MUST ALSO BE ALIVE SINCE JEFF PLANS TO INSTALL BEN'S COMPUTER NEXT WEEK. THIS MEANS THAT JEFF KILLED MIKE THE COUPLES ARE: GILLES AND LOUISE ROBERT AND LILY MICHAEL AND CAROLE LILY IS AN ONLY CHILD, SO CAROLE HAS TO BE LOUISE'S SISTER. THIS MAKES CAROLE AND MICHEAL A COUPLE. GILLES HAS NEVER MET LILY, SO THIS MAKES GILLES AND LOUISE A COUPLE. THE REMAINING COUPLE IS ROBERT AND LILY