Question

Three numbers are in the ratio 2:3:4. The sum of their cubes is 19.316088. Find the numbers.

Answer 1

Step-by-step explanation:

Suppose the numbers = 2z, 3z, 4z

Given, the sum of their cubes = 0.334125

As per question,

(2z)

3

+(3z)

3

+(4z)

3

=0.334125

or 8z

3

+27z

3

+64z

3

=0.334125

or 99z

3

=0.334125

or z

3

=0.334125÷99

x

3

=

99

0.334125

=0.003375

x

3

=

1000000

3375

x=

3

10×10×10×10×10×10

15×15×15

=

10×10×10

15

=0.015

Hence, the required numbers are

2×0.015=0.03

3×0.015=0.045

4×0.015=0.06