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Sum of the two- digits of a two- digit number is 9.when we interchange the digits, is is found that the resulting new number is greater than original number by 27. What is the two-digit number?
Most Upvoted Answer
Sum of the two- digits of a two- digit number is 9.when we interchange...
Explanation:
Given Information:
- Sum of the two digits of a two-digit number is 9.
- Interchanging the digits results in a new number that is greater than the original number by 27.
Let's solve the problem step by step:
Step 1: Set up the equation:
Let the original two-digit number be 10x + y, where x is the digit in the tens place and y is the digit in the ones place.
According to the given information, we have two equations:
1. x + y = 9
2. 10y + x - (10x + y) = 27
Step 2: Solve the equations:
From the first equation, we get x = 9 - y.
Substitute x = 9 - y into the second equation:
10y + 9 - y - 10(9 - y) = 27
Simplify the equation:
9y - 81 = 27
9y = 108
y = 12
Step 3: Find the two-digit number:
Substitute y = 12 into x = 9 - y:
x = 9 - 12
x = -3 (This is not possible as x and y are digits)
Conclusion:
Since x = -3 is not a valid digit, there is a mistake in the calculation. Therefore, there is no two-digit number that satisfies the given conditions.
Given Information:
- Sum of the two digits of a two-digit number is 9.
- Interchanging the digits results in a new number that is greater than the original number by 27.
Let's solve the problem step by step:
Step 1: Set up the equation:
Let the original two-digit number be 10x + y, where x is the digit in the tens place and y is the digit in the ones place.
According to the given information, we have two equations:
1. x + y = 9
2. 10y + x - (10x + y) = 27
Step 2: Solve the equations:
From the first equation, we get x = 9 - y.
Substitute x = 9 - y into the second equation:
10y + 9 - y - 10(9 - y) = 27
Simplify the equation:
9y - 81 = 27
9y = 108
y = 12
Step 3: Find the two-digit number:
Substitute y = 12 into x = 9 - y:
x = 9 - 12
x = -3 (This is not possible as x and y are digits)
Conclusion:
Since x = -3 is not a valid digit, there is a mistake in the calculation. Therefore, there is no two-digit number that satisfies the given conditions.
Community Answer
Sum of the two- digits of a two- digit number is 9.when we interchange...
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Sum of the two- digits of a two- digit number is 9.when we interchange the digits, is is found that the resulting new number is greater than original number by 27. What is the two-digit number?
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Sum of the two- digits of a two- digit number is 9.when we interchange the digits, is is found that the resulting new number is greater than original number by 27. What is the two-digit number? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Sum of the two- digits of a two- digit number is 9.when we interchange the digits, is is found that the resulting new number is greater than original number by 27. What is the two-digit number? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of the two- digits of a two- digit number is 9.when we interchange the digits, is is found that the resulting new number is greater than original number by 27. What is the two-digit number?.
Sum of the two- digits of a two- digit number is 9.when we interchange the digits, is is found that the resulting new number is greater than original number by 27. What is the two-digit number? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Sum of the two- digits of a two- digit number is 9.when we interchange the digits, is is found that the resulting new number is greater than original number by 27. What is the two-digit number? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of the two- digits of a two- digit number is 9.when we interchange the digits, is is found that the resulting new number is greater than original number by 27. What is the two-digit number?.
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