Aegyptian fractions

A rich man owned 19 camels. After his death, his will says these camels should be shared by his three sons, the elder should have half the number, the second one quarter of the camels and the younger one fifth, without selling nor cuting camels.
Solution

Find variants of this problem with different number of camels and heirs
With 3 heirs, this means find all (a,b,c,n) with : 1/a + 1/b + 1/c = n/(n + 1)
Detailed Solutions and methods.

We could generally search to solve 1/a + 1/b + ... = p/q (javascript)

 

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