Remainder!
Number Theory
Level
1
If A and B are positive integers such that the reminder is 4 when A is divided by B, What is the smallest possible value of A+B?
5
4
13
9
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The Reminder always has to be less than the divisor. Otherwise, the quantity equal to the divisor can be subtracted from the remainder and written as a factor of the divisor. Which mean the remainder would have a different value after all. The smallest number greater than 4 is 5. So A is 5. Now, what is the smallest number that we should divide by 5 that gives us a reminder of 4 ? Well, 4. So B = 4. 5+4 = 9
Now, go ahead and mark this as the best answer please, because you're not going to get a better one