Question

three numbers are in the ratio 2:3:4.the sum of their cubes is 33,957.find the numbers

Answer 1

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Answer 2

Hi friend....
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Here's your answer..
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let the tree numbers be 2x, 3x and 4x

now,
according to the question,

(2x)³+(3x)³+(4x)³ = 33957

or, 8x³ + 27x³ + 64x³ = 33957

or, 99x³ = 33957

or, x³ = 33957/99

or, x³ = 343

or, x = 7

So, the numbers are (2×7)=14 , (3×7)= 21 and (4×7)= 28
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