Question

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
x2 + 1= 67

Answer 1

2x + 1 = 67

Let the smaller integer be x.

The next larger consecutive integer is 1 more than x, so it's x + 1.

x + x + 1 = 67

2x + 1 = 67

Answer 2

Let the smaller integer be x.
The next larger consecutive integer is 1 more than x, so it's x + 1.

x + x + 1 = 67

2x + 1 = 67

Answer is option B.