Let's denote the number as 'a' and the divisor as 'd'.

From the problem, we know that:

1. a = kd + 23 (where k is some integer)
2. 2a = ld + 11 (where l is some integer)

We can substitute the first equation into the second to get:

2(kd + 23) = ld + 11
2kd + 46 = ld + 11
2kd - ld = 11 - 46
d(2k - l) = -35

Since d must be a positive integer (you can't divide by a negative number or zero), and 2k - l must also be a positive integer (since it's a multiple of the divisor), the only possible value for d that satisfies this equation is 35.

So, the divisor is 35.

Question

Let's denote the number as 'a' and the divisor as 'd'.

From the problem, we know that:

1. a = kd + 23 (where k is some integer)
2. 2a = ld + 11 (where l is some integer)

We can substitute the first equation into the second to get:

2(kd + 23) = ld + 11
2kd + 46 = ld + 11
2kd - ld = 11 - 46
d(2k - l) = -35

Since d must be a positive integer (you can't divide by a negative number or zero), and 2k - l must also be a positive integer (since it's a multiple of the divisor), the only possible value for d that satisfies this equation is 35.

So, the divisor is 35.

Knowee AI · Accepted Answer

Let's denote the number as 'a' and the divisor as 'd'.

From the problem, we know that:

1. a = kd + 23 (where k is some integer)
2. 2a = ld + 11 (where l is some integer)

We can substitute the first equation into the second to get:

2(kd + 23) = ld + 11
2kd + 46 = ld + 11
2kd - ld = 11 - 46
d(2k - l) = -35

Since d must be a positive integer (you can't divide by a negative number or zero), and 2k - l must also be a positive integer (since it's a multiple of the divisor), the only possible value for d that satisfies this equation is 35.

So, the divisor is 35.

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?

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