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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

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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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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User Meet Dave
by
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1 Answer

3 votes

the numbers -
x,2x,3x


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

6,12,18

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User EvilEddie
by
8.0k points
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