Math
posted by Mathslover Please help .
N is an integer such that N≡179(mod233) and N≡233(mod179).
Determine a three digit positive integer M such that N≡M(mod179×233).
Details and assumptions
You may use the fact that 179 and 233 are primes.

412

how did you do it?

N = 179(mod 233)
N = 233(mod 179)
N = 179 + 233t
179 + 233t = 233(mod 179)
233t = 233 (mod 179)
t = 1
N = M = 179 + 233(1) = 412 (mod 179*233). 
108 is 36% of what number? Write and solve a proportion to solve the problem.
108 is 36% of what number? Write and solve a proportion to solve the problem.
108 is 36% of what number? Write and solve a proportion to solve the problem.
108 is 36% of what number? Write and solve a proportion to solve the problem.