The three numbers are in the ratio 2ratio 3ratio5 the sum of their cubes is 3456 0 34560 34560

Asked by amandeep.sss1984 | 26th Oct, 2020, 08:07: PM

Expert Answer:

If your question states The three number are in ratio 2:3:5 . The sum of their cubes is 34560 find the numbers.
 
Let the numbers be 2x, 3x, 5x.
 
(2x)3 + (3x)3 + (5x)3 = 34560
8x3 + 27x3 + 125x3 = 34560
160x3 = 34560
x3 = 216 = 63 
x = 6
Numbers will be 2x = 12, 3x = 18 and 5x = 30

Answered by  | 27th Oct, 2020, 04:50: PM