Question

21. Three numbers are in the ratio 2 : 3:4. The sum of
their cubes is 72171. Find the numbers.​

Answer 1

Answer:

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

Sum of their cubes=72171

(2x)^3+(3x)^3+(4x)^3=72171

8x+27x+64x=72171

99x=72171

x=72171÷99

x=729.

2x=2×729=1458

3x=3×729=2187

4x=4×729=2916