Question

Three numbers are in ratio 1:2:3 and their cube is 18432 then the greatest number is

Answer 1

Answer:

24

Step-by-step explanation:

Let the no. = x

(1x)³+(2x)³+(3x)³ = 18432

1x³ + 8x³ + 27x³ = 18432

36x³ = 18432

x³ = 18432/36

x³ = 512

x = 8

No.s are 8, 16, 24.

Answer 2

Answer:

The greatest number is 24.

Step-by-step explanation:

Given: Numbers are in the ratio 1:2:3 and sum of their cube is 18432.

To find the greatest number.

Let numbers be x, 2x and 3x.

According to question:

(x)³+(2x)³+(3x)³ = 18432

x³ + 8x³ + 27x³ = 18432

                36x³ = 18432

                   x³ = 18432/36

                   x³ = 512

                    x = 8

Therefore, the numbers greatest number is= 3(8).

                                                                           = 24

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