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IF THE GIRLS HAD BEEN ON A STANDING TRAIN, THE FIRST GIRL'S CALCULATIONS WOULD HAVE BEEN CORRECT, BUT THEIR TRAIN WAS MOVING. IT TOOK 5 MINUTES TO MEET A SECOND TRAIN, BUT THEN IT TOOK THE SECOND TRAIN 5 MORE MINUTES TO REACH WHERE THE GIRLS MET THE FIRST TRAIN. SO THE TIME BETWEEN TRAINS IS 10 MINUTES, NOT 5, AND ONLY 6 TRAINS PER HOUR ARRIVE IN THE CITY THE PROBABILITY IS 1/2. THERE ARE INITIALLY 4 POSSIBILITIES: GIRL-GIRL, GIRL-BOY, BOY-GIRL AND BOY-BOY. SINCE THE OLDER CHILD IS A BOY, WE CAN RULE OUT THE GIRL-GIRL AND GIRL-BOY COMBINATIONS MIKE COOPER IS THE CULPRIT. WE CAN EXCLUDE MARTIN FROM OUR INVESTIGATIONS AS HE WAS THE VICTIM. TERRY SINGER POSSESSES AN ORANGE CAR. THE THIEF POSSESSES A BLUE CAR, THUS TERRY SINGER CANNOT BE THE CULPRIT. THE SUSPECT WHO OWNS A BLUE CAR WAS WEARING PURPLE SHOES. THE SUSPECT WHO WEIGHS 190 POUNDS WAS WEARING PURPLE SHOES. THE SUSPECT WHO WEIGHS 190 POUNDS IS NOT THE ONE WHO HAS BLACK HAIR. THEREFORE, ONE SUSPECT WAS WEARING PURPLE SHOES, POSSESSES A BLUE CAR, WEIGHS 190 POUNDS, AND IS NOT THE ONE WHO HAS BLACK HAIR. BUT JIM CONDON WAS WEARING BROWN SHOES, SYLVIAN BOGARD HAS BLACK HAIR, JONAH JAMESON WEIGHS 210 POUNDS, AND TERRY SINGER POSSESSES AN ORANGE CAR. THEREFORE, THE ONLY SUSPECT WHO COULD BE THIS SUSPECT IS MIKE COOPER. AS MIKE COOPER, OWNS A BLUE CAR AND THE THIEF OWNS A BLUE CAR, HE IS DEFINITELY THE THIEF 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