3 numbers are to one another 2:3:4. the sum of their cubes is 33957. find the numbers.
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ratio of three numbers = 2:3:4
first number =2x
second number= 3x
third number = 4x
sum of the cubes of these numbers =33957
(2x)³+(3x)³+(4x)³=33957
8x³+27x³+64x³=33957
99x³ =33957
x³ =33957/99
x³ =343
x³=7³
x= 7
therefore
first number = 2x = 2*7=14
second number =3x=3*7=21
third number = 4x=4*7=28
first number =2x
second number= 3x
third number = 4x
sum of the cubes of these numbers =33957
(2x)³+(3x)³+(4x)³=33957
8x³+27x³+64x³=33957
99x³ =33957
x³ =33957/99
x³ =343
x³=7³
x= 7
therefore
first number = 2x = 2*7=14
second number =3x=3*7=21
third number = 4x=4*7=28
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Answer:
14 21 28
Step-by-step explanation:
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