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Stage: 3 and 4 Short Challenge Level: Challenge Level:1

For how many positive values of $n$ are both $\frac{1}{2}n$ and $2n$ three-digit whole numbers?


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.
View the archive of all weekly problems grouped by curriculum topic