## 'What a Coincidence!' printed from http://nrich.maths.org/

See all short problems arranged by curriculum topic in the short problems collection

Consider the arithmetic sequences:
$1998, 2005, 2012, ...$ and
$1996, 2005, 2014, ...$

Which is the next number after $2005$ that appears in both sequences?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.