Step-by-step explanation:
let the integer be x .
three consecutive integers : x, x+1, x+2.
according to the problem,.
Let the first of the 3 consecutive numbers be X.
Therefore the second number is (X + 1)
The third number is therefore (X + 2)
The product of the 3 consecutive numbers is:
( X )( X + 1 )( X + 2 ) = 3360 Equation( 1 )
Expanding Equation ( 1 ) gives
X³ + 3X² + 2X - 3360 = 0 Equation (2)
Solve Equation (2 ) which gives the following values for X
X1 = 14
X2 = - 8.5 + i (12.951834)
X3 = - 8.5 - i (12.951834).
the numbers are 14,15,16.
sum is 14+15+16 = 45.
hope this helps you.
