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09-08-2020
Mathematics

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The sum of the cubes of 3 numbers which are in the ratio 1:2:3 is 7776. Find the numbers

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konrad509 konrad509

09-08-2020

the numbers - [tex]x,2x,3x[/tex]

[tex]x^3+(2x)^3+(3x)^3=7776\\x^3+8x^3+27x^3=7776\\36x^3=7776\\x^3=216\\x=6\\2x=12\\3x=18[/tex]

6,12,18

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