three numbers are in ratio 1 : 2 : 3 the sum of their cubes is 7776 find the number
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Let the numbers be x, 2x, and 3x
A/C to question:
=x^3+(2x)^3+(3x)^3=7776
=x^3+8x^3+27x^3=7776
=36x^3=7776
=x^3=7776/36
=x^3=216
=x=6
Therefore by substituting the value of x in the assumed numbers, we get the following numbers:
x=6
2x=2*6=12
3x=3*6=18
So, the numbers are 6, 12, 18.
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