Question

Three numbers are in ratio 2:3:4. The sum of their cubes is 0.334125. Find the numbers.

Answer 1

The ratio of three numbers is 2:3:4.
Let the numbers be 2x, 3x and 4x.
Cubes of numbers = (2x)³, (3x)³, (4x)³
=8x³, 27x³, 64x³
=8x³ + 27x³ + 64x³
= 99x³

99x³=0.334125
x³ = (0.334125) / 99
x³ = 0.003375
x³ = (0.15)³
x = 0.15
Therefore, the numbers are (2 × 0.15), (3 × 0.15) and (4 × 0.15)
Numbers are 0.3, 0.45 and 0.6