# Three numbers are in the ratio 1:2:3. The sum of their cubes is 98784. Find the Numbers. PLEASE HELP ME TO SOLVE THIS QUESTION

2
by Ankit1234

2016-03-05T16:54:35+05:30

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Let the no. be x, 2x and 3x

ATQ

x³ + (2x)³ + (3x)³ = 98784
x³ + 8x³ + 27x³ = 98784

9x³ + 27x³ = 98784

36x³       = 98784

x³            = 98784 / 36
x³             = 2744
x              = ∛2× 2×2×7×7×7
x               = 7× 2
x              = 14

so the no. are x = 14
2x = 28
3x = 42

2016-03-05T16:56:04+05:30

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let the common multiple be x
So their ratio = x,2x,3x
According to given COndition
x³ + (2x)³ + (3x)³ = 98784
x³ + 8x³ + 27x³ = 98784
36x³ = 98784
x³ = 98784/36
x³ = 2744
x = ∛2744
x = 14

So the Numbers are 14,28,42
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