There numbers are in the ratio2:3:4 The sum of their cubes is 33957. F

1.	There numbers are in the ratio2:3:4 The sum of their cubes is 33957. Find the number.
Answer» ANSWER: Step-by-step EXPLANATION: Let the numbers be 2X, 3x and 4x sum of CUBES = 33957 ⇒(2x)^3 + (3x)^3 + (4x)^3 = 33957 ⇒8x^3 + 27x^3 + 64x^3 = 33957 ⇒99x^3 = 33957 ⇒x^3 = 33957/99 = 343 ⇒x = 3√343 = 7

There numbers are in the ratio2:3:4 The sum of their cubes is 33957. Find the number.

Answer»

ANSWER:

Step-by-step EXPLANATION:

Let the numbers be 2X, 3x and 4x

sum of CUBES = 33957

⇒(2x)^3 + (3x)^3 + (4x)^3 = 33957

⇒8x^3 + 27x^3 + 64x^3 = 33957

⇒99x^3 = 33957

⇒x^3 = 33957/99 = 343

⇒x = 3√343 = 7

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There numbers are in the ratio2:3:4 The sum of their cubes is 33957. Find the number.​

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There numbers are in the ratio2:3:4 The sum of their cubes is 33957. Find the number.