If a is congruent to 62 (mod 99) and b is congruent to 75 (mod 99), then for what integer n in the set {1000, 1001, 1002, 1003... 1098} is it true that a-b is congruent to n (mod 99)?
\(a - b \equiv n \pmod{99}\\ 62 - 75 \equiv n \pmod{99}\\ n\equiv -13 \pmod{99}\\ n \equiv 86 \pmod{99}\\ n \equiv 990 + 86 \pmod{99}\\ n \equiv 1076\pmod{99}\)
+586 
