(This was taken from Diophantus\' book) Find four numbers such that when any of
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(This was taken from Diophantus' book) Find four numbers such that when any of them are added together, their sum is one of four given numbers. Say the given number sums are 20, 22, 24 and 27. Solution: Let x be the sum of all four numbers. Then the numbers are just x - 20, x -22, x - 24 an d x - 27. 1 It follows that x = (x - 20) + (x - 22) + ( x - 24) + ( x - 27) which is solved by x = 31. Then the required numbers are 11,9, 7 and 4. Here is a homework problem. Book I. Problem 16 Find three numbers such that when any two of them are added, the sum is one of three given numbers. Say the given sums are 20,30 and 40.Explanation / Answer
It was giving an error so I uploaded the solution (image) here https://dl.dropbox.com/u/83216089/asol/john-smith_sum-of-no.gif Thanks for reading my answer. You can comment any doubts. Ratings are Permanent, rate best to the best answer!
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