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( 4 )
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( 2 )
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W _ T N _ S S Clue
THE ADVICE WAS TO ADD HIS HORSE TO THE GROUP OF HORSES, TO MAKE A TOTAL OF 18 HORSES. THE OLDEST SON WILL GET HALF - 9 HORSES. THE MIDDLE SON WILL GET ONE THIRD - 6 HORSES THE YOUNGEST SON WILL GET ONE NINTH - 2 HORSES THERE IS NOW 1 REMAINING HORSE WHICH BELONGS TO THE TRAVELING MATHEMATICIAN LISA IS MARRIED TO GEORGE, AND THEIR 10 YEAR OLD PLAYS WITH NINTENDO. THEY LIKE TO EAT AT BURGER KING. THE ASSOCIATIONS ARE: CHILD AGE 4, MOTHER REGINA, FATHER LARRY, TRAINS, KFC CHILD AGE 6, MOTHER JULIE, FATHER STEVE, POKEMAN, MCDONALDS CHILD AGE 8, MOTHER MARIE, FATHER MIKE, BARBIE, TACO BELL CHILD AGE 10, MOTHER LISA, FATHER GEORGE, NINTENDO, BURGER KING CHILD AGE 12, MOTHER CAROL, FATHER BILL, GI JOE, DAIRY QUEEN TO SOLVE, DRAW A GRID WITH FIVE ROWS AND FIVE COLUMNS. ACROSS THE TOP, ABOVE THE COLUMNS, WRITE AGE, MOTHER, FATHER, TOY AND FOOD. FIGURE OUT THE KNOWN AGES AND WRITE THEM IN ORDER IN THE FIRST COLUMN. ONE CHILD'S AGE IS UNKNOWN AT FIRST. HOWEVER, ONCE THE YOUNGEST CHILD IS DISCOVERED (THE ONE WHO PLAYS WITH TRAINS) IT IS THEN KNOWN THAT THE OLDEST CHILD IS THE CHILD WITH THE UNKNOWN AGE. THROUGH ADDITIONAL CLUES, IT IS POSSIBLE TO DETERMINE THAT THE OLDEST CHILD IS AGE 12. TAKE THE CLUE, LISA?S CHILD IS 10. IN THE MOTHER COLUMN CORRESPONDING TO THE AGE 10, YOU WOULD WRITE LISA (MAYBE CIRCLE IT, BECAUSE IT IS THE CORRECT ANSWER.) IN THE MOTHER COLUMN FOR EVERY OTHER AGE, WRITE "NOT LISA". DO THIS FOR EACH CLUE. IF YOU KNOW THE ANSWER BECAUSE OF A CLUE, WRITE IT IN THE APPROPRIATE COLUMN, AND THEN BE SURE TO WRITE "NOT SUCH AND SUCH" IN ALL THE OTHER ROWS FOR THAT CLUE. FOR EXAMPLE, "THE YOUNGEST CHILD PLAYS WITH TRAINS", WOULD RESULT IN "NOT TRAINS" FOR ANY CHILD YOU CAN TELL ISN?T THE YOUNGEST, BUT YOU CAN?T WRITE "TRAINS" FOR ANY CHILD, BECAUSE YOU DON?T KNOW WHICH CHILD IS THE YOUNGEST AT FIRST. EVENTUALLY, YOU MAY FIND THAT "MOTHER NOT MARIE" IS ON EVERY LINE EXCEPT ONE, AND THEN YOU WOULD KNOW THAT MARIE IS THE MOTHER ON THE EMPTY LINE 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 MOTHER WAS THE MURDERER. WE KNOW FROM (3) THAT THE YOUNGEST PERSON WAS NOT THE VICTIM, FROM (4) THAT THE YOUNGEST PERSON WAS NOT THE HELPER AND FROM (6) THAT THE YOUNGEST PERSON WAS NOT THE KILLER. THE YOUNGEST PERSON CAN ONLY HAVE BEEN THE WITNESS THEREFORE. WE CAN WORK OUT FROM (5) THAT THE FATHER WAS THE OLDEST, FROM (2) THAT THE YOUNGEST PERSON MUST HAVE BEEN THE DAUGHTER. THEREFORE THE NEXT TO THE YOUNGEST MUST HAVE BEEN THE SON AND THE NEXT TO THE OLDEST, THE MOTHER. FROM THE STATEMENTS, WE CAN SORT OUT THE MEMBERS BASED ON AGE, FROM OLDEST TO YOUNGEST AS: FATHER, MOTHER, SON, DAUGHTER. WE CAN COME TO THE FOLLOWING CONCLUSION: MOTHER - MURDERER FATHER - HELPER SON - VICTIM DAUGHTER - WITNESS