Three numbers are in the ratio 4: 5 : 6 . The sum of their cubes is
87480 . Find the number
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Let first no be 4x, second no 5x ,and third no 6x.
(4x)^3 + (5x)^3 +(6x)^3 = 87,480
64x^3 + 125x^3 + 216x^3 = 87,480
405x^3 = 87,480
x^3 = 216
x= 6
First number = 4*6 = 24
second no = 5*6 = 30
third no = 6*6 = 36.
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