Questions: The sum of the page numbers on the facing pages of a book is 73. What are the page numbers? The number on the left page is and the number on the right page is .

The sum of the page numbers on the facing pages of a book is 73. What are the page numbers?

The number on the left page is and the number on the right page is .

Transcript text: The sum of the page numbers on the facing pages of a book is 73. What are the page numbers? The number on the left page is $\square$ and the number on the right page is $\square$ .

Solution

Solution Steps

Step 1: Recognize the problem involves finding two consecutive integers, say $n$ and $n+1$.

Step 2: Given their sum is $S$, we set up the equation: $n + (n + 1) = S$.

Step 3: Simplify the equation to get $2n + 1 = S$.

Step 4: Solve for $n$ to get $n = \frac{S - 1}{2}$.

Step 5: Since $n$ is the smaller integer, the larger integer is $n + 1$, which simplifies to $\frac{S + 1}{2}$.

Step 6: Therefore, the smaller integer is 36 and the larger integer is 37.

Final Answer:

The two consecutive integers whose sum is 73 are 36 and 37.

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!