three numbers are in the ratio 1: 2:3 .The sum of their cubes is 98784. find the numbers
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Answer:
14,28,42
Step-by-step explanation:
Let the no's be : x , 2x, 3x
A.T.Q
x^3 + (2x)^3 +(3x)^3 =98784
= x^3 +8x^3 + 27x^3 = 98784
= 36x^3 = 98784
= x^3 = 98784/36
=x^3 = 2744
= x = ∛2744
= x = 14
Therefore, the no 's are 14, (2×14),(3×14)
=14,28,42
Hope it works....
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