Marsha has two numbers, a and b. When she divides a by 70 she gets a remainder of 64. When she divides b by 105 she gets a remainder of 99. What remainder does she get when she divides a+b by 35?

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a = 70 + 64 = 134

b =105 + 99=204

a + b =134 + 204 =338

338 mod 35 = 23 - the remainder.

The answer is 45

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