Question

The three numbers are to one another 2:4:
7. The sum of their cubes is 3320. Find the
numbers.​

Answer 1

Answer:

they are 4 , 8 , 14

Step-by-step explanation:

let the ratios be 2x , 4x and 7x

Accordingly ,

( 2x )^3 + ( 4x )^3 + ( 7x )^3 = 3320

=> 8x^3 + 64x^3 + 343x^3 = 3320

=> 415x^3 = 3320

=> x^3 = 8

=> x = 2

therefore the numbers are,

2x = 2*2= 4

4x = 2*4 = 8

7x = 2*7 = 14