The three (3) consecutive numbers are: 17, 18, and 19.
_________________________________________________
Explanation:
________________________________________________
x + (x+1) + (x+2) = 54 ;
in which the three consecutive number are: x, (x + 1), and (x + 2) ;
________________________________________________
Given:
________________________________________________
x + (x+1) + (x+2) = 54 ; Solve for: "x" ;
x + (x+1) + (x+2) = 54 ;
→ x + x + 1 + x + 2 = 54
3x + 3 = 54 ;
Subtract "3" from each side of the equation;
3x + 3 - 3 = 54 - 3 ;
to get:
3x = 51 ;
Divide each side of the equation by "3" ; to isolate "x" on one side of the equation; and to solve for "x" ;
_______________________________________________________
3x / 3 = 51 / 3 ;
x = 17 ;
______________________________________________________
x + 1 = 18 ;
x + 2 = 19 ;
______________________________________________________
The three (3) consecutive numbers are: 17, 18, and 19.
______________________________________________________
Let us check our work: 17 + 18 + 19 =? 54 ? ;
35 + 19 =? 54 ? Yes!
______________________________________________________
