The three numbers are in the ratio 2:3:5. The sum of their cubes is 34560. Find the numbers.
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The three numbers are in the ratio 2:3:5. The sum of their cubes is 34560. Find the numbers.
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Answer:
explanation in the picture hope it is helpful
Answer:
Step-by-step explanation:
Let the common multiple is x
hence
First no: 2x
Second No: 3x
Third No: 5x
[tex](2x)^{3}+(3x)^{3}+(5x)^{3}[/tex] = 34560
8[tex]x^{3}[/tex] + 27[tex]x^{3}[/tex] + 125[tex]x^{3}[/tex] = 34560
160[tex]x^{3}[/tex] = 34560
[tex]x^{3}[/tex] = 34560/160
[tex]x^{3}[/tex] = 216
x = 6
First no: 2x = 2*6 = 12
Second No: 3x = 3*6 =18
Third No: 5x = 5*6 = 30
Thank you
INDIAN MATH TUTOR