Question

three numbers are in ratio 2 : 3 :5 .The sum of their cubes is 54880.Find the numbers??​

Answer 1

Step-by-step explanation:

As the Number is in Ratio we can express that as

2x:3x:5x

the sum of the cube of these numbers is 54880

so, (2x)^3+(3x)^3+(5x)^3 = 54880

Now, 8x^3+27x^3+125x^3 = 54880

160x^3 = 54880

x^3 = 343

x= 7.

Therefore the three numbers are, 14, 21 & 35