Question

1:2:3 the sum of their cubes is 121500 the number are

Answer 1

here is your answer....................

Answer 2

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Let the ratio constant be x .


So ,


numbers are :-

x , 2x , 3x respectively .


Now ,


Sum of their cubes = 121500


=> ( x ) ³ + ( 2x ) ³ + ( 3x ) ³ = 121500


=> x ³ + 8x³ + 27x² = 121500


=> 36x³ = 121500


=> 12x³ = 40500


=> 4x³ = 13500


=> 2x³ = 6750.


=> x³ = 3875


=> x = ³√3875


=> x = 5√31


So ,


Numbers are :-


5√31 , 10√31 and 15√31


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