Question

Three numbers are to one another 2: 3: 4. The sum of their cubes is 33957. Find the numbers.

Answer 1

Answer:

14,21,28

Step-by-step explanation:

Let the numbers be x

So, They will be 2x, 3x and 4x

2x^3 + 3x^3 + 4x^3 = 33957

8x + 27x + 64x = 33957

99x = 33957

x = 33957/99

x = 343

x = 7

Now, to find the numbers, we have:

2x = 7 x 2 = 14

3x = 7 x 3 = 21

4x = 7 x 4 = 28

So, the numbers are 14,21,28

Hope it helps you!