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A number consists of a two digit . When the noumber os divided by the sum of its digit , the quotient is 7 . if 27 is substracted from the number , the digots interchange their places . find the number?
Most Upvoted Answer
A number consists of a two digit . When the noumber os divided by the ...
Explanation:
Given Information:
- The number is a two-digit number.
- When the number is divided by the sum of its digits, the quotient is 7.
- When 27 is subtracted from the number, the digits interchange their places.
Let's assume:
Let the two-digit number be represented as 10a + b, where a and b are the digits.
Equations:
1. 10a + b = 7(a + b) (Given: When the number is divided by the sum of its digits, the quotient is 7)
2. 10a + b - 27 = 10b + a (Given: When 27 is subtracted from the number, the digits interchange their places)
Solving the Equations:
From equation 1:
10a + b = 7a + 7b
3a = 6b
a = 2b
Substitute a = 2b into equation 2:
10(2b) + b - 27 = 10b + 2b
20b + b - 27 = 12b
21b - 27 = 12b
9b = 27
b = 3
Substitute b = 3 into a = 2b:
a = 2(3) = 6
Number:
The number is 63.
Therefore, the number is 63.
Given Information:
- The number is a two-digit number.
- When the number is divided by the sum of its digits, the quotient is 7.
- When 27 is subtracted from the number, the digits interchange their places.
Let's assume:
Let the two-digit number be represented as 10a + b, where a and b are the digits.
Equations:
1. 10a + b = 7(a + b) (Given: When the number is divided by the sum of its digits, the quotient is 7)
2. 10a + b - 27 = 10b + a (Given: When 27 is subtracted from the number, the digits interchange their places)
Solving the Equations:
From equation 1:
10a + b = 7a + 7b
3a = 6b
a = 2b
Substitute a = 2b into equation 2:
10(2b) + b - 27 = 10b + 2b
20b + b - 27 = 12b
21b - 27 = 12b
9b = 27
b = 3
Substitute b = 3 into a = 2b:
a = 2(3) = 6
Number:
The number is 63.
Therefore, the number is 63.
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A number consists of a two digit . When the noumber os divided by the sum of its digit , the quotient is 7 . if 27 is substracted from the number , the digots interchange their places . find the number?
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A number consists of a two digit . When the noumber os divided by the sum of its digit , the quotient is 7 . if 27 is substracted from the number , the digots interchange their places . find the number? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A number consists of a two digit . When the noumber os divided by the sum of its digit , the quotient is 7 . if 27 is substracted from the number , the digots interchange their places . find the number? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number consists of a two digit . When the noumber os divided by the sum of its digit , the quotient is 7 . if 27 is substracted from the number , the digots interchange their places . find the number?.
A number consists of a two digit . When the noumber os divided by the sum of its digit , the quotient is 7 . if 27 is substracted from the number , the digots interchange their places . find the number? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A number consists of a two digit . When the noumber os divided by the sum of its digit , the quotient is 7 . if 27 is substracted from the number , the digots interchange their places . find the number? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number consists of a two digit . When the noumber os divided by the sum of its digit , the quotient is 7 . if 27 is substracted from the number , the digots interchange their places . find the number?.
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