Browse · MATH Print → jmc number theory intermediate Problem If a≡16(mod37) and b≡21(mod37), then for what integer n in the set {0,1,2,…,35,36} is it true that a−b≡n(mod37) ? Solution — click to reveal Reading all congruences (mod37), we have a−b≡16−21≡−5≡−5+37≡32. Final answer 32 ← Previous problem Next problem →