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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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 re(2): Solution | Comment 4 of 11 |
(In reply to re: Solution by Richard)

I took "product of the number of each boy's of chocolates, lollipops and toffees is 336" to mean that, for each boy, C*L*T = 336.

So, for Alexei:

2*14*12 = 336   (and 2*14 = 2+14+12 = 28)

And for Boris:

4*6*14 = 336    (and 4*6 = 4+6+14 = 24)

 Posted by tomarken on 2006-03-28 16:12:43

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