Question

three numbers are in the ratio 3:4:5. the sum of their cubes is 27000. find the numbers

Answer 1

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Answer 2

Step-by-step explanation:

let those numbers be '3x', '4x' and '5x' respectively.

According to the question,

4x^3 + 5x^3 + 3x^3 = 27000

(12x)^3 = 27000

x^3 = 27000÷12

= 2250

Therefore,

x= 3√2250

= 142

Hence, the numbers are:

3x= 3*142= 426. 4x= 4*142= 568. 5x=5*142= 710

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