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The sum of the digits of two-digit number is 5. If the digit is reversed, the number is decreased by 27. Find the numbers ?
- a)15,51
- b)41, 14
- c)30, 31
- d)32, 23
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The sum of the digits of two-digit number is 5. If the digit is revers...
Let the digits be x and y respectively.
Therefore, x + y = 5 ----------- (1)
Original Number : 10x + y
Reversed Number : 10y + x
10x + y - (10y + x) = 27
10x + y - 10y - x = 27
9x - 9y = 27
9 (x - y) = 27
x - y = 3 ------------ (2)
Adding equation (1) and (2)
2x = 8
x = 4
Substituting value for x in equation (1), we get
4 + y = 5
y = 1
The numbers are 41 and 14.
Therefore, x + y = 5 ----------- (1)
Original Number : 10x + y
Reversed Number : 10y + x
10x + y - (10y + x) = 27
10x + y - 10y - x = 27
9x - 9y = 27
9 (x - y) = 27
x - y = 3 ------------ (2)
Adding equation (1) and (2)
2x = 8
x = 4
Substituting value for x in equation (1), we get
4 + y = 5
y = 1
The numbers are 41 and 14.
Most Upvoted Answer
The sum of the digits of two-digit number is 5. If the digit is revers...
Solution:
Let the tens digit be x and the ones digit be y.
According to the question,
x + y = 5
The number can be expressed as 10x + y and the reversed number can be expressed as 10y + x.
When the number is reversed, the number is decreased by 27, which means:
10y + x = 10x + y - 27
9y - 9x = -27
y - x = -3
y = x - 3
Substituting y = x - 3 in the first equation:
x + (x - 3) = 5
2x - 3 = 5
2x = 8
x = 4
Therefore, y = x - 3 = 1
The number is 41, which is option B.
Let the tens digit be x and the ones digit be y.
According to the question,
x + y = 5
The number can be expressed as 10x + y and the reversed number can be expressed as 10y + x.
When the number is reversed, the number is decreased by 27, which means:
10y + x = 10x + y - 27
9y - 9x = -27
y - x = -3
y = x - 3
Substituting y = x - 3 in the first equation:
x + (x - 3) = 5
2x - 3 = 5
2x = 8
x = 4
Therefore, y = x - 3 = 1
The number is 41, which is option B.
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Community Answer
The sum of the digits of two-digit number is 5. If the digit is revers...
A) the sum is 5 so 1 st let's take 14
1+4=5
next if its reversed decrease by 27
41
14-41=-27
b) the sum is 5 so 2nd we take 41
4+1=5
next it's reversed decrease by 27
14
41-14=27
1+4=5
next if its reversed decrease by 27
41
14-41=-27
b) the sum is 5 so 2nd we take 41
4+1=5
next it's reversed decrease by 27
14
41-14=27
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The sum of the digits of two-digit number is 5. If the digit is reversed, the number is decreased by 27. Find the numbers ?a)15,51b)41, 14c)30, 31d)32, 23e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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The sum of the digits of two-digit number is 5. If the digit is reversed, the number is decreased by 27. Find the numbers ?a)15,51b)41, 14c)30, 31d)32, 23e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The sum of the digits of two-digit number is 5. If the digit is reversed, the number is decreased by 27. Find the numbers ?a)15,51b)41, 14c)30, 31d)32, 23e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the digits of two-digit number is 5. If the digit is reversed, the number is decreased by 27. Find the numbers ?a)15,51b)41, 14c)30, 31d)32, 23e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
The sum of the digits of two-digit number is 5. If the digit is reversed, the number is decreased by 27. Find the numbers ?a)15,51b)41, 14c)30, 31d)32, 23e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The sum of the digits of two-digit number is 5. If the digit is reversed, the number is decreased by 27. Find the numbers ?a)15,51b)41, 14c)30, 31d)32, 23e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the digits of two-digit number is 5. If the digit is reversed, the number is decreased by 27. Find the numbers ?a)15,51b)41, 14c)30, 31d)32, 23e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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