SASMO 2027 · Grades 4-5 · SET 007 · Self-study Question 19

The four-digit number $\overline{5x1y}$ has four distinct digits. Find all digit pairs (x,y) such that it is divisible by both 2 and 3, and has remainder 2 when divided by 5. Enter the pairs in increasing x order as x,y; x,y.