Answer: To solve this problem, we can use algebra. Let x be the smaller page number. Then, the larger page number is x + 1, since the pages are facing each other. We know that the sum of these two numbers is 553, so we can set up the equation:
x + (x+1) = 553
Next, we will solve for x by combining like terms:
2x + 1 = 553
Now we will subtract 1 from both sides of the equation:
2x = 552
Finally, we will divide both sides by 2:
x = 276
So the smaller page number is 276.
Explanation: