Question

# Hema, Shefali and Molly each drew two of these card.  Shefali said, " the sum of my number is 3/2 ."  Hema said, "the sum of my number is 1. "  Molly said, "the difference of my numbers just less than one."  The cards are:                          3/8, 1/4, 5/8, 5/4, 11/16, 13/8  Which card did each one have?

Solution

## We can solve this question just by trial and error method  i.E. just try different combinations  thus we get the answers for shefali s card: he had a sum of 3/2  trying different sets we get   (1/4)+(5/4)=(6/4)=3/2 so he took card  (1/4)  and  (5/4) for hema s card ; she had a sum of 1   so by trail method we get (3/8)+(5/8)=(8/8)=1 thus she took the cards  (3/8)  &   (5/8) for molly s cards : she had a difference of just less than one  thus by trail method we can see that  (13/8)-(11/16)=(26/16)-(11/16)=15/16  which is just less than one  so molly had the cards 13/8    &  11/16

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