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Sum of digits of a two digit number is 10 . if 18 be subtracted from it the digits in resulting number will be equal?
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Sum of digits of a two digit number is 10 . if 18 be subtracted from i...
Explanation:
Given:
Let the two-digit number be represented as 10a + b, where a is the digit in the tens place and b is the digit in the ones place. According to the given condition, a + b = 10.
Subtracting 18 from the number:
When 18 is subtracted from the two-digit number, we get:
(10a + b) - 18 = 10a + b - 18
Breaking down the subtraction:
(10a + b) - 18 = 10a + b - 18
= 10a + b - (10 + 8)
= 10a - 10 + b - 8
= 10(a - 1) + (b - 8)
Equating the digits in the resulting number:
From the above expression, we can see that the resulting number has digits a - 1 and b - 8. To have equal digits in the resulting number, we need a - 1 = b - 8.
Explaining the condition for equal digits:
Since a + b = 10 (given), we can substitute b = 10 - a in the equation a - 1 = b - 8 to get:
a - 1 = (10 - a) - 8
a - 1 = 10 - a - 8
a - 1 = 2 - a
2a = 3
a = 3/2 (which is not possible as a is a digit)
Conclusion:
From the above calculation, we can conclude that when 18 is subtracted from a two-digit number whose sum of digits is 10, the resulting number will not have equal digits.
Given:
Let the two-digit number be represented as 10a + b, where a is the digit in the tens place and b is the digit in the ones place. According to the given condition, a + b = 10.
Subtracting 18 from the number:
When 18 is subtracted from the two-digit number, we get:
(10a + b) - 18 = 10a + b - 18
Breaking down the subtraction:
(10a + b) - 18 = 10a + b - 18
= 10a + b - (10 + 8)
= 10a - 10 + b - 8
= 10(a - 1) + (b - 8)
Equating the digits in the resulting number:
From the above expression, we can see that the resulting number has digits a - 1 and b - 8. To have equal digits in the resulting number, we need a - 1 = b - 8.
Explaining the condition for equal digits:
Since a + b = 10 (given), we can substitute b = 10 - a in the equation a - 1 = b - 8 to get:
a - 1 = (10 - a) - 8
a - 1 = 10 - a - 8
a - 1 = 2 - a
2a = 3
a = 3/2 (which is not possible as a is a digit)
Conclusion:
From the above calculation, we can conclude that when 18 is subtracted from a two-digit number whose sum of digits is 10, the resulting number will not have equal digits.
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Sum of digits of a two digit number is 10 . if 18 be subtracted from it the digits in resulting number will be equal?
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Sum of digits of a two digit number is 10 . if 18 be subtracted from it the digits in resulting number will be equal? 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 a two digit number is 10 . if 18 be subtracted from it the digits in resulting number will be equal? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of digits of a two digit number is 10 . if 18 be subtracted from it the digits in resulting number will be equal?.
Sum of digits of a two digit number is 10 . if 18 be subtracted from it the digits in resulting number will be equal? 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 a two digit number is 10 . if 18 be subtracted from it the digits in resulting number will be equal? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of digits of a two digit number is 10 . if 18 be subtracted from it the digits in resulting number will be equal?.
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