Question

three number are in the ratio 2:3:4. the sum of their cubes is 33957. find the number

Answer 1

2+3+4=33957
9=33957
1=3773

Number=7546,15092,11319

Answer 2

Hiii friend,

Ratio of the three numbers is 2:3:4


Let X be multiply to these numbers then the numbers becomes 2X , 3X , 4X.


According to question,


(2X)³ + (3X)³ , (4X)³ = 33957

8X³+27X³+64X³ = 33957


99X³ = 33957

X³ = 33957/99

X³ = 343

X = cube root 343 => cube root 7×7×7

X = 7


First Number = 2X = 2 × 7 = 14


Second number = 3X = 3 × 7 = 21

And,


Third Number = 4X = 4 × 7 = 28


HENCE,


THE NUMBERS ARE 14,21,28


HOPE IT WILL HELP YOU..... :-)