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ABCD Simultaneous (Posted on 2023-10-24)

Without using a computer search, find positive real values of a, b, c and d that simultaneously satisfy:

a*b*c = 129960(a+b+c),
a*b*d = 108300(a+b+d),
a*c*d = 584820(a+c+d),
b*c*d = 307800(b+c+d).

No Solution Yet Submitted by K Sengupta

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