Select the correct answerA number when divided by a divisor left reminder 23. When twice of the number was divided by the same divisor, reminder was 11. what is the divisor?Options352512342
Question
Select the correct answerA number when divided by a divisor left reminder 23. When twice of the number was divided by the same divisor, reminder was 11. what is the divisor?Options352512342
Solution
Let's denote the number as 'a' and the divisor as 'd'.
From the problem, we know that:
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a = kd + 23 (where k is some integer)
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2a = ld + 11 (where l is some integer)
Substituting the first equation into the second, we get:
2(kd + 23) = ld + 11 2kd + 46 = ld + 11 2kd - ld = 11 - 46 (d)(2k - l) = -35
Since d is a divisor, it must be a positive integer. Therefore, the only possible value for d from the given options that can satisfy this equation is 35.
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