Question

three numbers are in the ratio 2:3:4. The sum of their cubes is 33957. The numbers are

Answer 1

Answer:

14 , 21 , 28

Step-by-step explanation:

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

sum of cubes = 33957

⇒(2x)³ + (3x)³ + (4x)³ = 33957

⇒8x³ + 27x³ + 64x³ = 33957

⇒99x³ = 33957

⇒x³ = 33957/99 = 343

⇒x = ∛343 = 7

Numbers are:

2x = 2×7 = 14

3x = 3×7 = 21

4x = 4×7 = 28

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