Question

Let a and n > 1 be integers that are relatively prime. Then gcd(a,n) and Bezout's Theorem says there are integers s and t such that
1 = a ∙ s + n ∙ t.
Suppose s = 53 and n = 51. Find a⁻¹ in Z/51 and write it as c were 0 < c <51
What is c?