Question

three numbers are in the ratio of 1 : 2 :3. the sum of their cubes is 7736 find the numbers.​

Answer 1

SOLUTION

Let the number be x

So, three number are= x:2x:3x

Given,

(x)³ + (2x)³ + (3x)³= 7776

=)x³ + 8x³ + 27x³= 7776

=) 36x³= 7776

=) x³= 7776/36

=) x³= 216

=) x³= 6³

=) x= 6

Thus, the numbers are:

1st number, x= 6

2nd numbe, 2x= 2×6= 12

3rd number,3x= 3×6= 18

Hope it helps ☺️

Answer 2

Answer:

The numbers are 6, 12 and 18

Step-by-step explanation:

The numbers are in the ratio 1:2:3

So, let the numbers = x, 2x and 3x

Sum of their cubes = x³ + (2x)³ + (3x)³ = x³ + 8x³ + 27x³ = 36x³ = 7776

So, x³ = 7776/36 = 216

x = ∛216 = 6

So the numbers = 6, 12 and 18