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The sum of the two digit number is 11. The number obtained by reversing the digit is 27 less than the original number.Then the original number is
- a)74
- b)47
- c)65
- d)83
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The sum of the two digit number is 11. The number obtained by reversin...
4+7 = 11
74-47 = 27
74-47 = 27
Most Upvoted Answer
The sum of the two digit number is 11. The number obtained by reversin...
Given information:
- The sum of the two digit number is 11.
- The number obtained by reversing the digit is 27 less than the original number.
Let the original number be represented by AB, where A and B are digits. Then,
- A + B = 11 (as the sum of digits is 11)
- 10A + B = 10B + A - 27 (as the number obtained by reversing the digits is 27 less than the original number)
- Simplifying the above equation, we get: 9A - 9B = 27
- Dividing both sides by 9, we get: A - B = 3
Now we have two equations:
- A + B = 11
- A - B = 3
Solving these equations simultaneously, we get:
- A = 7
- B = 4
Therefore, the original number is 74 (since AB = 74). Hence, option (A) is the correct answer.
- The sum of the two digit number is 11.
- The number obtained by reversing the digit is 27 less than the original number.
Let the original number be represented by AB, where A and B are digits. Then,
- A + B = 11 (as the sum of digits is 11)
- 10A + B = 10B + A - 27 (as the number obtained by reversing the digits is 27 less than the original number)
- Simplifying the above equation, we get: 9A - 9B = 27
- Dividing both sides by 9, we get: A - B = 3
Now we have two equations:
- A + B = 11
- A - B = 3
Solving these equations simultaneously, we get:
- A = 7
- B = 4
Therefore, the original number is 74 (since AB = 74). Hence, option (A) is the correct answer.
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