Question

three number are in the ratio 2 : 3 : 4 the sum of their cube is 33957 find the numbers

Answer 1

Hi.

Here is your answer---

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Let the numbers are 2x, 3x and 4x respectively.

Thus,
According to the Questions,
            (2x)³ + (3x)³ + (4x)³ = 33957
             8x³ + 27x³ + 64x³ = 33957
                             99x³ = 33957
                                 x³ = 33957/99
                                 x³ = 343
                                 x = ∛343
                                 x = 7

Thus, the numbers are---

2x = 2 × 7
     = 14

3x = 3 × 7
     = 21

4x = 4 × 7
     = 28.

Thus, the numbers are 14,21 and 28.

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Hope it helps.

Have a nice day.

Answer 2

Hey mate above is your answer

.

.

.hope it helps uh.