Question

The sum of the cube of three numbers are im ratio 1:2:3 Is 7776. Find the number

Answer 1

Let the common multiple be x.
Ratio = 1:2:3
So, first number = x
Second number = 2x
third number = 3k

Cube of first number= x^3
Cube of second number = (2x)^3 = 8x^3
Cube of third number = (3x)^3 = 27x^3

According to the given equation

x^3 +8x^3+27x^3 = 7776
36x^3 = 7776
x^3 = 216
x = 6

So, the first number = x = 6
Second number = 2x = 12
& Third number = 3x = 18.

Answer 2

hope this helps.......