Question

The numbers 11284 and 7655 when divided by a certain 3 digit sumber leave the same remainder. Find the number and the reminder
PLEASE
answer in step by step
answer is 90
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Answer 1

Answer:

Let the remainder in each case be t. Then, (11284 – t) and (7655 – t) are exactly divisible by that three digit number. Hence, their difference is [(11284 – t ) – (7655 – t ] = 3629 will also be exactly divisible by that three digit number. In other words that divisor will be a factor of 90