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A number consisting of two digits is seven times the sum of its digit. When 27 is subtracted from the number, the digits are reversed. Find the find . How to find it? What is the method to find it.?
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Problem: A number consisting of two digits is seven times the sum of its digits. When 27 is subtracted from the number, the digits are reversed. Find the number.
Solution:
Let the tens digit be x and the units digit be y.
Therefore, the number can be expressed as 10x + y.
According to the problem, we have:
10x + y = 7(x + y) (since the number is seven times the sum of its digits)
Expanding and simplifying the above equation, we get:
3x = 6y
x = 2y
Substituting x = 2y in 10x + y = 7(x + y), we get:
y = 5
Therefore, x = 10 - y = 5
Hence, the original number is 10x + y = 10(5) + 5 = 55.
When 27 is subtracted from the number, we get:
55 - 27 = 28
The digits of 28 are reversed to get the original number 82.
We can verify that 82 is indeed seven times the sum of its digits (8 + 2 = 10 and 7 x 10 = 70).
Therefore, the answer is 55.
Answer: The number is 55.
Solution:
Let the tens digit be x and the units digit be y.
Therefore, the number can be expressed as 10x + y.
According to the problem, we have:
10x + y = 7(x + y) (since the number is seven times the sum of its digits)
Expanding and simplifying the above equation, we get:
3x = 6y
x = 2y
Substituting x = 2y in 10x + y = 7(x + y), we get:
y = 5
Therefore, x = 10 - y = 5
Hence, the original number is 10x + y = 10(5) + 5 = 55.
When 27 is subtracted from the number, we get:
55 - 27 = 28
The digits of 28 are reversed to get the original number 82.
We can verify that 82 is indeed seven times the sum of its digits (8 + 2 = 10 and 7 x 10 = 70).
Therefore, the answer is 55.
Answer: The number is 55.
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A number consisting of two digits is seven times the sum of its digit. When 27 is subtracted from the number, the digits are reversed. Find the find . How to find it? What is the method to find it.?
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A number consisting of two digits is seven times the sum of its digit. When 27 is subtracted from the number, the digits are reversed. Find the find . How to find it? What is the method to find it.? 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 consisting of two digits is seven times the sum of its digit. When 27 is subtracted from the number, the digits are reversed. Find the find . How to find it? What is the method to find it.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number consisting of two digits is seven times the sum of its digit. When 27 is subtracted from the number, the digits are reversed. Find the find . How to find it? What is the method to find it.?.
A number consisting of two digits is seven times the sum of its digit. When 27 is subtracted from the number, the digits are reversed. Find the find . How to find it? What is the method to find it.? 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 consisting of two digits is seven times the sum of its digit. When 27 is subtracted from the number, the digits are reversed. Find the find . How to find it? What is the method to find it.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number consisting of two digits is seven times the sum of its digit. When 27 is subtracted from the number, the digits are reversed. Find the find . How to find it? What is the method to find it.?.
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