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The number obtained by interchanging the digits of a two-digit number is less than the original number by 63. If the sum of the digits of the number is 11, what is the original number? 
  • a)
    29 
  • b)
    92 
  • c)
    74 
  • d)
    Cannot be determined 
Correct answer is option 'B'. Can you explain this answer?
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The number obtained by interchanging the digits of a two-digit number ...
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The number obtained by interchanging the digits of a two-digit number ...
Explanation:

Given conditions:
1. The number obtained by interchanging the digits of a two-digit number is less than the original number by 63.
2. The sum of the digits of the number is 11.

Let's assume the original two-digit number is represented as AB, where A and B are the digits.

Interchanging the digits:
- The number obtained by interchanging the digits is BA.
- So, the difference between the original number and the number obtained by interchanging the digits is given by:
- (10A + B) - (10B + A) = 63
- 9A - 9B = 63
- A - B = 7

Sum of the digits:
- Given that the sum of the digits of the number is 11.
- A + B = 11
- From the above equation A - B = 7 and A + B = 11, we can solve for A and B.
- Solving, we get A = 9 and B = 2.

Hence, the original two-digit number is 92 (Option B).
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The number obtained by interchanging the digits of a two-digit number is less than the original number by 63. If the sum of the digits of the number is 11, what is the original number?a)29b)92c)74d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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