Question

Three numbers are in ratio 2:3:4.The sum of their cubes is 33957,then greatest number is

Answer 1

hope it helps. pls mark it as brainliest. greatest no. is 28.

Answer 2

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

Their cubes =

(2x)^3 = 8x^3

(3x)^3 = 27x^3

(4x)^3 = 64x^3

According to question ,

8x^3 + 27x^3 + 64x^3 = 33957

99x^3 = 33957

x^3 = 33957/99

x^3 = 343

x = 3√343

x = 7

Then the numbers =

2x = 2×7 = 14

3x = 3×7 = 21

4x = 4×7 = 28

The greatest number = 28..