The sum of two digits of a number is 15. if 9 is added to the number, the digit is reversed. The numbers are?Options8578778287
Question
The sum of two digits of a number is 15. If 9 is added to the number, the digit is reversed. The numbers are?
Options:
- 85
- 77
- 82
- 87
Solution
The problem states that the sum of the two digits of a number is 15. This means that the only possible combinations for the two digits are (6,9), (7,8), (8,7), and (9,6).
The problem also states that if 9 is added to the number, the digits are reversed. This means that the second digit of the original number plus 9 must equal 10 (since adding 9 to a number can only result in a number ending in 0 if the original number ended in 1).
Therefore, the only possible combination that fits both conditions is (7,8).
So, the number is 78.
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