the three numbers are in the ratio 2 : 3 : 4 and the sum of their cubes 12375

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13-09-2015
Mathematics

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the three numbers are in the ratio 2 : 3 : 4 and the sum of their cubes 12375

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faizu faizu · Answer 1 · 2015-09-13T21:57:55+02:00

faizu faizu

13-09-2015

let us take each number as x = 2x , 3x, 4x
(2x)³+(3x)³+(4x)³=12375
8x³+27x³+64x³=12375
99x³=12375
x³=12375/99
=125
x =∛125
x=5
2x=2×5=10
3x=3×5=15
4x=4×5=20

therefore, the three numbers are 10,15 and 20 .....

Hope it helps !!

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