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 Alexei And Boris (Posted on 2006-03-28)
Alexei and Boris both have a whole number of chocolates, lollipops and toffees, and the product of the number of each boy's of chocolates, lollipops and toffees is 336. It is known that:

(A) Each boy has fewer chocolates than lollipops.

(B) For each boy, the product of the number of chocolates and lollipops equals the total number of candies he has.

(C) Alexei has more lollipops than toffees.

Determine the number of chocolates, lollipops and toffees possessed by each of Alexei and Boris.

 See The Solution Submitted by K Sengupta Rating: 3.0000 (5 votes)

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 Solution | Comment 2 of 11 |

The factors of 336 are 2, 2, 2, 2, 3, and 7.

There are only two combinations that fit the conditions given.  The fact that Alexei has more lollipops than toffees is how you distinguish which is which.

Alexei has 2 chocolates, 14 lollipops, and 12 toffees.
Boris has 4 chocolates, 6 lollipops, and 14 toffees.

 Posted by tomarken on 2006-03-28 12:44:22

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