three numbers are in the ratio 2 3 4 the sum of there cube is 33957 find the number
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Let the number be x and the ratio is 2:3:4
The sum of there cube =33957
Therefore, 1st no=2x,
2nd no=3x
3rd no =4x
Now sum of the cubes of three no's =33957
(2x)to the power 3+(3x)to the power 3 +(4x)to the power 3 =33957
8xcube +27cube+64cube=33957
99xcube=33957
xcube =33957/99
x=343cube root
Therefore x=7
1st no=2x=2.7=14
2nd no=3x =3.7=21
3rd no=4x =4.7=28
Therefore three no's =14,21,28
The sum of there cube =33957
Therefore, 1st no=2x,
2nd no=3x
3rd no =4x
Now sum of the cubes of three no's =33957
(2x)to the power 3+(3x)to the power 3 +(4x)to the power 3 =33957
8xcube +27cube+64cube=33957
99xcube=33957
xcube =33957/99
x=343cube root
Therefore x=7
1st no=2x=2.7=14
2nd no=3x =3.7=21
3rd no=4x =4.7=28
Therefore three no's =14,21,28
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Answer:
14,21,28
Step-by-step explanation:
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