Question

Three numbers are in the ratio 2:3:4. If the sum of their cubes is 50,688, then find each number.​

Answer 1

Answer:-

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..... :-)