Question

Three numbers are in the ratio 2:3:4 . The sum of their cubes is 33957 . Find the numbers .​

Answer 1

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

sum of cubes = 33957

⇒(2x)^3 + (3x)^3 + (4x)^3 = 33957

⇒8x^3 + 27x^3 + 64x^3 = 33957

⇒99x^3 = 33957

⇒x^3 = 33957/99 = 343

⇒x = 3√343 = 7

Numbers are:

2x = 2�7 = 14

3x = 3�7 = 21

4x = 4�7 = 28

Upvote | 3

Bikash Chandra Sahu answered Jun 23, 2018

The no.s are 14,21,and 28.find their cube and then add them....

Upvote | 1

Shivanagu Rangaraju answered Sep 15, 2018

Let the no. be 2x ,3x and 4x

then there cube will be 8x� , 27x� , 64x�

8x�+27x�+64x�=33957

99x�=33957

x�=343

x=7

therefore no. will be 14 , 21 , 28

Answer 2

Answer:

let the numbers be 2x,3x,4x

acc. to ques. (2x)³+(3x)³+(4x)³=33957

=>8x³+27x³+64x³=33957

=>99x³=33957

=>x³=343

=>x=7

=>the numbers are 14,21,28