SOLUTION: 30 chocolates are to be distributed among 7persons and no two persons gets equal number of chocolates?

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Question 756896: 30 chocolates are to be distributed among 7persons and no two persons gets equal number of chocolates?
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
You would be looking for an arithmetic series equal to 30, built on a sequence of consecutive natural numbers and 7 terms.

30=7%28a%5B1%5D%2Ba%5Bn%5D%29%2F2 and we do not know yet a%5B1%5D or a%5Bn%5D. You also expect a%5Bn%5D-a%5B1%5D=6.

With that, you now have two equations and two unknowns, as a set of linear equations.