Select the correct answerThe sum of two digits of a number is 15. if 9 is added to the number, the digit is reversed. The numbers are?Options8278877785
Question
Select the correct answer
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:
- 82
- 78
- 77
- 85
Solution
The correct answer is 78.
Here's the step-by-step solution:
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The sum of two digits of a number is 15. So, the possible pairs of two-digit numbers that add up to 15 are (6,9), (7,8), (8,7), and (9,6).
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If 9 is added to the number, the digits are reversed. This means the original number must be smaller than the reversed number. So, we can eliminate the pairs (6,9) and (9,6) because adding 9 to these numbers would not result in a reversal of digits.
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Now we are left with the pairs (7,8) and (8,7). If we add 9 to 78, we get 87, which is the reverse of 78. But if we add 9 to 87, we get 96, which is not the reverse of 87.
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Therefore, the correct answer is 78.
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