Determine the sum of all positive three-digit integer numbers that give a remainder 2 when divided by 7, a remainder 4 when divided by 9, and remainder 7 when divided by 12.
N mod 7 = 2 N mod 9 = 4 N mod 12 = 7, solve for N
The LCM[7, 9, 12] =252 N =252n + 247, where n =0, 1, 2, 3.....etc. Sum=247 + 499 + 751 = 1,497
thanks!
+37 
