Answer :
Let's go through the problem together. We are trying to find two consecutive page numbers in a book that add up to 145.
1. Let's suppose the first page number is [tex]\( x \)[/tex].
2. The page on the right would be the next consecutive number, so it would be [tex]\( x + 1 \)[/tex].
3. According to the problem, the sum of these two page numbers is 145. So, we write the equation:
[tex]\[
x + (x + 1) = 145
\][/tex]
4. Simplify the equation:
[tex]\[
2x + 1 = 145
\][/tex]
5. Subtract 1 from both sides to get:
[tex]\[
2x = 144
\][/tex]
6. Now, divide both sides by 2 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = 72
\][/tex]
7. Therefore, the first page number is 72.
8. The next consecutive page number is:
[tex]\[
x + 1 = 72 + 1 = 73
\][/tex]
So, the two facing pages with consecutive numbers are 72 and 73.
1. Let's suppose the first page number is [tex]\( x \)[/tex].
2. The page on the right would be the next consecutive number, so it would be [tex]\( x + 1 \)[/tex].
3. According to the problem, the sum of these two page numbers is 145. So, we write the equation:
[tex]\[
x + (x + 1) = 145
\][/tex]
4. Simplify the equation:
[tex]\[
2x + 1 = 145
\][/tex]
5. Subtract 1 from both sides to get:
[tex]\[
2x = 144
\][/tex]
6. Now, divide both sides by 2 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = 72
\][/tex]
7. Therefore, the first page number is 72.
8. The next consecutive page number is:
[tex]\[
x + 1 = 72 + 1 = 73
\][/tex]
So, the two facing pages with consecutive numbers are 72 and 73.
