Question

The multiplication of three consecutive number is 2730 then the sum of the three numbers i

Answer 1

Let the three consecutive numbers be x, x+1, x+2

x.(x+1).(x+2) = 2730

x.(x² + 3.x + 2) = 2730

x³ + 3.x² + 2.x = 2730

Now solving this Trinomial Equation,

x³ + 3.x² + 2.x - 2730 = 0

By solving we get that 13 is a root of this Equation.

(x-13).(x² + 16.x + 210)

Rest two roots are Imaginary

so x=13

∴Sum of Numbers = 13 + 14 + 15

=42