Problem
NT-B1-M04-P009 Remainders 3 and 2
#9
★★☆☆☆ Level 2 of 5
Solve the system \(x\equiv3\pmod4\), \(x\equiv2\pmod5\).
Search among \(3,7,11,15,19,\ldots\).
Among \(3,7,11,15,19,\ldots\), which are congruent to \(3\) modulo \(4\), the number \(7\) has residue \(2\) modulo \(5\). The answer is \(x\equiv7\pmod{20}\).
A short system for confidence.