Logic Puzzles

42. Equal Sweets Through Exchange

John and Mary had 720 sweets. John gave 1/7 of his sweets to Mary. In return, Mary gave 1/6 of her sweets to John. In the end they had an equal number of sweets each. How many sweets did John have at first?

Added 13 May 2012

Hint:

Consider the total number of sweets and how the transfers affect each person's total.

Solution:

John had 420 sweets at first.


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