three numbers are in the ratio 1;2;3.the sum of their cubes is 98784. find the numbers.

Since the three numbers are in the ratio 1:2:3, let the three numbers be x, 2x and 3x.
So, according to the given condition,
 
Thus, the three numbers are 14, 2 × 14 and 3 × 14; that is 14, 28 and 42.

  • 32
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