Problem
TxO Math Bowl 2024 - Team Contest - Problem 18
Let \mathcal{S} be the set of ordered pairs (a, b) such that a and b are positive integers and
a^2 + 7a + 26 = ab + 2b.
Find
\sum_{(a,b) \in \mathcal{S}} (a+b).
Want to contribute problems and receive full credit? Click here to add your problem!
Please report any issues to us in our Discord server
Go to previous contest problem (SHIFT + Left Arrow) Go to next contest problem (SHIFT + Right Arrow)
Problem feedback
Difficulty
—