   # When 31513 and 34369 are each divided by a certain three-digit number, the remainders are equal. Find this remainder?

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When 31513 and 34369 are each divided by a certain three-digit number, the remainders are equal. Find this remainder? posted Dec 11, 2017

31513/102 = 308 with 97 as remainder which is the same as the remainder of 34369/102
31513/119 = 264 with 97 as remainder which is the same as the remainder of 34369/119
31513/136 = 231 with 97 as remainder which is the same as the remainder of 34369/136
31513/168 = 187 with 97 as remainder which is the same as the remainder of 34369/168
31513/204 = 154 with 97 as remainder which is the same as the remainder of 34369/204
31513/238 = 132 with 97 as remainder which is the same as the remainder of 34369/238. answer Dec 11, 2017

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A four digit positive number, when divided by the sum of the four digit of the number given 226 as quotient and 0 as remainder. If thousand place of the number is 4 and units place is 2 then the difference of hundred place and tens place will be