Three numbers are in the ratio of 2 : 3:4. Thesum of their cubes is 33

1.	Three numbers are in the ratio of 2 : 3:4. Thesum of their cubes is 33957. Find the numbers.
Answer» ANSWER: check the answer below!! Step-by-step explanation: let the numbers be 2x, 3X and 4x... (2x)^3 + (3x)^3 + (4x)^3 = 33957 8x^3 + 27x^3 + 64x^3 = 33957 99x^3 = 33957 x^3 = 33957 ÷ 99 x = 3√343 = 7 the numbers are, 2x = 2×7 = 14 3x = 3×7 = 21 4x = 4×7 = 28 So, 14, 21 and 28 are the numbers...

Three numbers are in the ratio of 2 : 3:4. Thesum of their cubes is 33957. Find the numbers.

Answer»

check the answer below!!

Step-by-step explanation:

let the numbers be 2x, 3X and 4x...

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

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

99x^3 = 33957

x^3 = 33957 ÷ 99

x = 3√343

= 7

the numbers are,

2x = 2×7 = 14

3x = 3×7 = 21

4x = 4×7 = 28

So,

14, 21 and 28 are the numbers...