Question

The sum of cubes of three numbers which are in ratio 2:3:4 is 12375. find the three numbers

Answer 1

Answer:

Step-by-step explanation:

Let the numbers be  a, b and c.

a = 2x     b = 3x     c = 4 x

sum of their cubes = 8 x³ + 27 x³ + 64 x³ = 99 x³

so   99 x³ = 12375

           x³ = 125

            x = 5

Therefore:

                2x=2 x 5

                    =10

                3x=3 x 5

                    =15

                4x=4 x 5

                    =20