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When $144$ is divided by $n$, this leaves a remainder of $11$. When $220$ is divided by $n$, this also leaves a remainder of $11$. What is the value of $n$?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
Common Remainder
Age 11 to 14
ShortChallenge Level 
When $144$ is divided by $n$, this leaves a remainder of $11$. When $220$ is divided by $n$, this also leaves a remainder of $11$. What is the value of $n$?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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