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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?
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The sum of the two digit number is 11. The number obtained by reversin...
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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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Community Answer
The sum of the two digit number is 11. The number obtained by reversin...
4+7 = 11
74-47 = 27
74-47 = 27
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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 isa)74b)47c)65d)83e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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