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There are certain 2 digit number.The difference between the number and the one obtained on reversing is it always 27 . How many such 2 digit number are there?
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There are certain 2 digit number.The difference between the number and...
Identifying the 2-digit Numbers
To find the 2-digit numbers where the difference between the number and its reverse is always 27, we can set up the following equation:
Let the 2-digit number be represented as 10x + y, where x is the tens digit and y is the units digit. The number obtained by reversing the digits will be 10y + x.
Formulating the Equation
According to the given condition:
(10x + y) - (10y + x) = 27
Simplifying the equation:
9x - 9y = 27
x - y = 3
Finding the Possible Numbers
We know that the difference between the tens and units digit is 3. Therefore, the possible combinations for x and y are:
(4,1), (5,2), (6,3), (7,4), (8,5), (9,6)
Calculating the 2-digit Numbers
Using the combinations above, we can calculate the 2-digit numbers:
41, 52, 63, 74, 85, 96
Conclusion
There are 6 such 2-digit numbers where the difference between the number and its reverse is always 27.
To find the 2-digit numbers where the difference between the number and its reverse is always 27, we can set up the following equation:
Let the 2-digit number be represented as 10x + y, where x is the tens digit and y is the units digit. The number obtained by reversing the digits will be 10y + x.
Formulating the Equation
According to the given condition:
(10x + y) - (10y + x) = 27
Simplifying the equation:
9x - 9y = 27
x - y = 3
Finding the Possible Numbers
We know that the difference between the tens and units digit is 3. Therefore, the possible combinations for x and y are:
(4,1), (5,2), (6,3), (7,4), (8,5), (9,6)
Calculating the 2-digit Numbers
Using the combinations above, we can calculate the 2-digit numbers:
41, 52, 63, 74, 85, 96
Conclusion
There are 6 such 2-digit numbers where the difference between the number and its reverse is always 27.
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There are certain 2 digit number.The difference between the number and the one obtained on reversing is it always 27 . How many such 2 digit number are there?
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There are certain 2 digit number.The difference between the number and the one obtained on reversing is it always 27 . How many such 2 digit number are there? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There are certain 2 digit number.The difference between the number and the one obtained on reversing is it always 27 . How many such 2 digit number are there? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are certain 2 digit number.The difference between the number and the one obtained on reversing is it always 27 . How many such 2 digit number are there?.
There are certain 2 digit number.The difference between the number and the one obtained on reversing is it always 27 . How many such 2 digit number are there? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There are certain 2 digit number.The difference between the number and the one obtained on reversing is it always 27 . How many such 2 digit number are there? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are certain 2 digit number.The difference between the number and the one obtained on reversing is it always 27 . How many such 2 digit number are there?.
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