Question

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

Answer 1

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...