Math, asked by anushree344, 6 months ago

three numbers are in ratio 2: 3:4. the sym of their cubes is 33957 .find the numbers. please answer.this question is of class 8 th.​

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Answered by Anonymous
0

Answer:

14, 21 and 28

Step-by-step explanation:

Let the numbers be 2x, 3x, 4x.

Given that the sum of their cubes is 33957.

= > (2x)^3 + (3x)^3 + (4x)^3 = 33957

= > 8x^3 + 27x^3 + 64x^3 = 33957

= > 99x^3 = 33957

= > x^3 = 343

= > x = 7

The numbers are:

= > 2(7) = 14

= > 3(7) = 21

= > 4(7) = 28.

Answered by deepaliabiswas
3

The solution is in the attachment provided.

Hope this helps.

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Thank you.

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