sally and jim each have a bag of hard candy sallay said jim if you give me 5 pieces of candy from your bag.i will have as many pieces as you jimn laughed and answered.no you give me 5 of yours and i will have twice as many as you .how many pieces did they each have to begin with?
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Given : sally and jim each have a bag of hard candy . sallay said jim if you give me 5 pieces of candy from your bag.i will have as many pieces as you
To find : how many pieces did they each have to begin with
Solution:
Let say Sally had S candies
& Jim had J Candies
sallay said jim if you give me 5 pieces of candy from your bag.i will have as many pieces as you
=> S + 5 = J - 5
=> J - S = 10 Eq1
Jim said you give me 5 of yours and i will have twice as many as you
=> J + 5 = 2(S - 5)
=> J + 5 = 2S - 10
=> J - 2S = - 15 Eq2
Eq 1 - Eq 2
=> S = 25
=> J = 35
Sally Had 25 Pieces & Jim had 35 Pieces
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