Advanced MathMediumFacing page numbers from their product
Advanced Math practice question
A book lies open at two facing pages whose page numbers have a product of 42. What is the sum of the two page numbers?
Answer: 13
Facing pages are consecutive: n(n + 1) = 42 gives (n + 7)(n − 6) = 0, so the pages are 6 and 7 and their sum is 13.
Common wrong answers
- If you answered 6
- 6 is the left-hand page alone.
- If you answered 7
- 7 is the right-hand page alone.
- If you answered 42
- 42 is the product.
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