The sum of the digits of a two-digit number is 11. If the digits are reversed, the new number is 27 less than the original number. What is the original number?
Answer and explanation
Correct answer: A. 74
- Step 1: Let number be with . Step 2. Reversed number: . Step 3. Add equations: . Step 4. . Original number is 74. Answer: 74. Why not the others: 83 reversed is 38 (diff 45); 92 reversed is 29 (diff 63); 65 reversed is 56 (diff 9).
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