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L _ L Y Clue
THEY ARE BOTH LYING. SCENARIO 1: IF THE CHILD WITH BROWN HAIR IS LYING, HE IS A BOY. THEN THE CHILD WITH BLOND HAIR MUST BE A GIRL SINCE THERE IS A BOY AND A GIRL AND THUS IS ALSO LYING. SCENARIO 2: IF THE CHILD WITH BROWN HAIR IS NOT LYING, THEN SHE'S A GIRL. SINCE AT LEAST ONE OF THEM IS LYING, THE CHILD WITH BLOND HAIR MUST BE LYING AND WOULD BE A GIRL ALSO, WHICH IS IMPOSSIBLE. SO THE ONLY POSSIBILITY IS THE SCENARIO WHERE BOTH ARE LYING 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 THE ANSWER IS A (YES). IF ANNE IS MARRIED, SHE IS LOOKING AT GEORGE, WHO IS UNMARRIED. IF ANNE IS UNMARRIED, JACK, WHO IS MARRIED, IS LOOKING AT HER 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