Question

6. Three numbers are in ratio 2:3:5. The sum of their cubes is 10240. Find the numbers.
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Answer 1

Answer:

Let the numbers be 2x,3x and 5x respectively.

ATQ,

$(2x)^3 + (3x)^3 + (5x)^3 = 10240$

$8x^3 + 27x^3 + 125x^3 = 10240$

$160x^3 = 10240$

$x^3 = 10240/160$

$x^3 = 64$

$x^3 = 4^3$

$x = 4$

Numbers =

1. 2x = 2(4) = 8
2. 3x = 3(4) = 12
3. 5x = 5(4) = 20

THE NUMBERS ARE 8, 12 AND 20.

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Answer 2

Answer:

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Step-by-step explanation:

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