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Sum of digits of two digits number is 9 when we interchange the digits it is found that resulting new number is greater than the original number by 27 find the two digits number?
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Sum of digits of two digits number is 9 when we interchange the digits...
Solution:
Given conditions:
- Sum of digits = 9
- New number is greater than the original number by 27
Let's assume the two-digit number is represented as 10x + y, where x and y are the digits:
1. Equation 1:
- According to the first condition, we have x + y = 9
2. Equation 2:
- The original number is 10x + y
- The new number is 10y + x
- The new number is greater than the original number by 27, so we have:
10y + x = 10x + y + 27
3. Solving the equations:
- From Equation 1, we get x = 9 - y
- Substituting x in Equation 2, we get 10y + 9 - y = 10(9 - y) + y + 27
- Solving the equation, we get y = 6
4. Find the two-digit number:
- From Equation 1, x = 9 - 6 = 3
- Therefore, the two-digit number is 36.
Conclusion:
- The two-digit number that satisfies the given conditions is 36.
Given conditions:
- Sum of digits = 9
- New number is greater than the original number by 27
Let's assume the two-digit number is represented as 10x + y, where x and y are the digits:
1. Equation 1:
- According to the first condition, we have x + y = 9
2. Equation 2:
- The original number is 10x + y
- The new number is 10y + x
- The new number is greater than the original number by 27, so we have:
10y + x = 10x + y + 27
3. Solving the equations:
- From Equation 1, we get x = 9 - y
- Substituting x in Equation 2, we get 10y + 9 - y = 10(9 - y) + y + 27
- Solving the equation, we get y = 6
4. Find the two-digit number:
- From Equation 1, x = 9 - 6 = 3
- Therefore, the two-digit number is 36.
Conclusion:
- The two-digit number that satisfies the given conditions is 36.
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Sum of digits of two digits number is 9 when we interchange the digits it is found that resulting new number is greater than the original number by 27 find the two digits number?
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Sum of digits of two digits number is 9 when we interchange the digits it is found that resulting new number is greater than the original number by 27 find the two digits number? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Sum of digits of two digits number is 9 when we interchange the digits it is found that resulting new number is greater than the original number by 27 find the two digits number? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of digits of two digits number is 9 when we interchange the digits it is found that resulting new number is greater than the original number by 27 find the two digits number?.
Sum of digits of two digits number is 9 when we interchange the digits it is found that resulting new number is greater than the original number by 27 find the two digits number? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Sum of digits of two digits number is 9 when we interchange the digits it is found that resulting new number is greater than the original number by 27 find the two digits number? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of digits of two digits number is 9 when we interchange the digits it is found that resulting new number is greater than the original number by 27 find the two digits number?.
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