Three numbers are in the ratio 5:6:7. The sum of their cubes is 18468. Find the numbers.
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Step-by-step explanation:
Ans : 5,10,15
Explanation:
Let the number be x and they were in the ration x : 2x : 3x
Also, it is given that sum of their cubes equals 4500
ie;
x^3 + (2x)^3 + (3x)^3 = 4500
x^3 + 8x^3 + 27x^3 = 4500
36x^3 = 4500
x^3 = 4500/36
x= cube_root(125)
x=5
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