The sum of a two-digit number and the number formed by reversing its digits is 110. If the digits differ by 4, find the number.
A37
B73
C84
D95
Explanation
Let digits be x and y. 11(x + y) = 110 => x + y = 10. Given |x – y| = 4. Solving x + y = 10 and x – y = 4 gives x = 7, y = 3. Number is 73 (or 37).
Exam Relevance
- Topic: Number System
- Subtopic: Digits Problems
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