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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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.
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