Question

Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is
577368. Find the numbers.

Answer 1

Answer:

ratio 2:3:4 and sum of their cubes is 2673.The sum of these numbers is:36274554

Answer 2

Given :- The numbers are 2 :3 : 4 and the sum of their cubes is 577368 .

To Find :- The number obtained .

Answer :- The numbers are 2:3:4 , and the sum of their cubes is 577368 .

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

$= (2x^{3} ) +(3x^{3})+(4x^{3})=577368\\= 8x^{3}+27x^{3}+64x^{3}=577368\\=99x^{3}=577368\\=x^{3}=5832\\=x=18$

Now , putting the value of x and the numbers obtained will be ,

$=2*18 =36\\=3*18=54\\=4*18=72$

Hence , the numbers are 36 , 54 , 72 .