An ordered pair of digits $(a, b)$ is such that $4a5,b32$ is a multiple of 66. Find $a+b$.

Soultion by computer program:

 

for (0 <= a <= 9)

for (0 <= b <= 9)

  n = 4a5b32

  if n % 66 = 0 output a + b

 

Output a + b = 5