If a two digit positive integer has its digits reversed the resulting integer differs from the original by By how much does the two digits differ?
Solution
Correct Answer: Option A
If we say that A = the tens digit {দশক স্থানীয় অঙ্ক } B = the units digit. {একক স্থানীয় অঙ্ক} then, original integer = 10A + B and original integer with digits reversed = 10B + A Now, we can use the fact that the difference between these two two-digit numbers is 27 to write the following equation: 10A + B - (10B + A) = 27 We have one equation and two variables. However, this is enough to answer the question, which asks for the difference between the two variables, A - B! 10A + B - (10B + A) = 27 10A + B - 10B - A = 27 9A - 9B = 27 9(A - B) = 27 A - B = 3
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