Question

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

Answer 1

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

Answer 2

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