Find two consecutive integers whose sum is 67. which of the following equations could be used to solve the problem? 2x = 67 2x + 1 = 67 2x + 2 = 67 x 2 + 1= 67

The desired answer is probably that
  2x + 1 = 67
is the equation that can be used to solve the problem. In this case, x represents the smallest integer.


I like to work problems in consecutive integers by considering their average. Here, it is 67/2 = 33.5. The two consecutive integers whose average is 33.5 are 33 and 34, the solution to the problem. For this, the first equation applies, where x is the value halfway between the two integers. (This answer (2x=67) would likely get marked wrong by your computer grading system.)

1. 8 or -82. 14 or -143. -11, -3, 0, 7, 10