Question

three numbers are in ratio 2:3:4 if the sum of their cubes is 0.013824 find the number​

Answer 1

Answer:

Now, no matter what we choose for x

we get the three numbers in the ratios specified. We are also told the sum of the cubes of these three numbers which we can write:

(2x)3+(3x)3+(4x)3

=0.334125

distributing the powers across the factors using

(a⋅b)c

=acbc

we get:

8x3+27x3+64x3

=99x3

=0.334125x3

=0.33412599

=0.003375

x=3√0.003375

=0.15

So the 3 numbers are:

2⋅0.15,3⋅0.15,4⋅0.15

⇒0.3,0.45,0.6