Magical Chocolates

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You have two jars of chocolates labeled as P and Q. If you move one chocolate from P to Q, the number of chocolates on B will become twice the number of chocolates in A. If you move one chocolate from Q to P, the number of chocolates in both jars will become equal.

Can you find out how many chocolates are there in P and Q respectively?

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  • 1 Answer(s)

    The question is faulty in its present form. It is stated as “If you move one chocolate from P to Q, the number of chocolates on B will become twice the number of chocolates in A” whereas the jars are ‘labeled as P and Q‘.  How does ‘A’ and ‘B’ come into the picture?  It seems that A and B should have been P and Q respectively.

    With this assumption, the solution is P = 5 and Q = 7.  (5 – 1 = 4 = 2 x (7 + 1); (7 – 1) = (5 + 1)

    Explanation:

    If you move one chocolate from P to Q, the number of chocolates on Q will become twice the number of chocolates in P =>  (P – 1) x 2 = Q + 1
    If you move one chocolate from Q to P, the number of chocolates in both jars will become equal =>  Q – 1 = P + 1

    Solving the above two, we get Q = 7 and P = 5.

    Viji_Pinarayi Expert Answered on 19th February 2022.
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