Three numbers are in the ratio of 3:4:5. Thesum of their cubes is 157464 . Find the numbers
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Step-by-step explanation:
let the numbers 3:4:5 =x
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Answer:
The three numbers are 27,36,45
Step-by-step explanation:
Let the three numbers be 3x,4x and 5x
Sum of their cubes=157464=(3x)³+(4x)³+(5x)³
(3x)³ =27x³
(4x)³ =64x³
(5x)³ =125x³
157464=(3x)³+(4x)³+(5x)³
=27x³+64x³+125x³
157464 =216x³
157464/216=x³
729=x³
x=9
The numbers are 3x,4x and5x
3x=3*9=27
4x=4*9=36
5x=5*9=45
The three numbers are 27,36 and 45.
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