If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 36. By how much do the two digits differ?
Pick
A) 3 B) 4 C) 5 D) 6 E) 7
we are given that if the integer N has its digits reversed the resulting integer differs from the original by 25. First let’s express the reversed number in a similar fashion to the way in which we expressed the original integer.   10B + A = reversed integer   Since we know the resulting integer differs from the original by 27 we can say:   10B + A – (10A + B) = 36   10B + A – 10A – B = 36   9B – 9A = 36   B – A = 4   Since B is the tens digit and A is the units digit, we can say that the digits differ by 4.   The answer is 4.
<result>B</result>
If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 36. By how much do the two digits differ?