SOLUTION: When a is divided by 7, the remainder is 5; and when b is divided by 7, the remainder is 4. What is the remainder when a + b is divided by 7?

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: When a is divided by 7, the remainder is 5; and when b is divided by 7, the remainder is 4. What is the remainder when a + b is divided by 7?       Log On


   



Question 308660: When a is divided by 7, the remainder is 5; and when b is divided by 7, the remainder is 4. What is the remainder when a + b is divided by 7?

Answer by rapaljer(4671) About Me  (Show Source):
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The remainder would normally be 5+4=9, but since 9 is greater than 7, a "grouping" of 7 must be subtracted from 9. The answer is a remainder of 2.

Dr. Robert J. Rapalje, Retired