We can write 30x070y03 as 300070003 + 1000000x + 100y Now we will take (mod 37) and on simplification we will get: 3 + x + 26y ≡ 0 (mod 37). Now we will check for all possible values of y i.e. y = 1, 2, 3...., 9 On checking, only y = 1, 4, 7 will give us a single digit value of x (that's what we need) So our solutions will be (x, y) = (0, 7), (4, 4), (8, 1)

We can write 30x070y03 as 300070003 + 1000000x + 100y Now we will take (mod 37) and on simplification we will get: 3 + x + 26y ≡ 0 (mod 37). Now we will check for all possible values of y i.e. y = 1, 2, 3...., 9 On checking, only y = 1, 4, 7 will give us a single digit value of x (that's what we need) So our solutions will be (x, y) = (0, 7), (4, 4), (8, 1)