Question

the left and right page numbers of an open book are two consecutive integers whose sum is 311. find these page numbers. (use a comma to separate answers as needed.)

Explanation:

Step1: Let the first - page number be \(x\).

The second - page number is \(x + 1\) since they are consecutive integers.

Step2: Set up the equation.

The sum of the two page numbers is \(x+(x + 1)=311\).
Simplify the left - hand side: \(2x+1 = 311\).

Step3: Solve for \(x\).

Subtract 1 from both sides: \(2x=311 - 1=310\).
Then divide both sides by 2: \(x=\frac{310}{2}=155\).
The second page number is \(x + 1=155+1 = 156\).

Answer:

155,156