# Math

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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.

• Math -

412

• Math -

how did you do it?

• Math -

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).

• Math -

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.

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