Question

Three numbers are in the ratio 2:3:4 and sum of their cubes is 33957. Find the largest number. *

Answer 1

Answer:-

Let the numbers be 2x, 3x and 4x sum of cubes = 33957

› (2x)³ + (3x)³ + (4x)³ = 33957

8x³ + 27x³ + 64x³

99x³ = 33957

= 33957

→x³ = 33957/99 = 343

= √343 = 7

Numbers are:

2x = 2x7 14

3x = 3x7 = 21

4x 4x7 28

Hope it helps(๑ゝω·)ﾉ♡