The sum of the digits of a two-digit number is 13 and the difference between the number and the number formed by reversing its digits is 27. What is the product of the two digits of the number?
- A. 35
- B. 40 ✓
- C. 45
- D. 54
Correct Answer: B. 40
Explanation
Let the digits be x and y. We have x+y=13 and 9|x-y|=27 \Rightarrow |x-y|=3. Solving these equations gives the digits as 8 and 5. Their product is 8 \times 5 = 40.
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