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Sum of the digits of a two digit number is 5. When we interchange the digits, it is found the the resulting new number is less than the original number by 27. What is the two digit number?
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Sum of the digits of a two digit number is 5. When we interchange the ...
Understanding the Problem:
The sum of the digits of a two-digit number is 5. When the digits are interchanged, the resulting new number is 27 less than the original number. We need to find the original two-digit number.
Let's break it down step by step:
Step 1: Setting up the equation
Let the tens digit of the number be x and the units digit be y. According to the given conditions:
x + y = 5 (Sum of the digits is 5)
10y + x = 10x + y - 27 (New number is 27 less than the original number)
Step 2: Solving the equations
From the first equation, we can rewrite it as x = 5 - y and substitute it into the second equation:
10y + 5 - y = 10(5 - y) + y - 27
9y + 5 = 50 - 10y + y - 27
9y + 5 = 23 - 9y
18y = 18
y = 1
Substitute y = 1 back into x = 5 - y:
x = 5 - 1
x = 4
Therefore, the original two-digit number is 41.
The sum of the digits of a two-digit number is 5. When the digits are interchanged, the resulting new number is 27 less than the original number. We need to find the original two-digit number.
Let's break it down step by step:
Step 1: Setting up the equation
Let the tens digit of the number be x and the units digit be y. According to the given conditions:
x + y = 5 (Sum of the digits is 5)
10y + x = 10x + y - 27 (New number is 27 less than the original number)
Step 2: Solving the equations
From the first equation, we can rewrite it as x = 5 - y and substitute it into the second equation:
10y + 5 - y = 10(5 - y) + y - 27
9y + 5 = 50 - 10y + y - 27
9y + 5 = 23 - 9y
18y = 18
y = 1
Substitute y = 1 back into x = 5 - y:
x = 5 - 1
x = 4
Therefore, the original two-digit number is 41.
Community Answer
Sum of the digits of a two digit number is 5. When we interchange the ...
Understanding the Problem:
The problem states that the sum of the digits of a two-digit number is 5. When the digits are interchanged, the resulting new number is 27 less than the original number.
Breaking down the Problem:
Let's break down the problem into steps to find the two-digit number:
1. Let the tens digit be x and the unit digit be y.
2. According to the given information, we have the following equations:
- x + y = 5 (Sum of the digits is 5)
- 10y + x - 10x - y = 27 (New number is 27 less than the original number)
3. Simplifying the equations:
- x + y = 5 (Equation 1)
- 9y - 9x = 27
- y - x = 3 (Dividing by 9)
- y = x + 3 (Equation 2)
Solving the Equations:
Substitute Equation 2 into Equation 1:
x + x + 3 = 5
2x + 3 = 5
2x = 2
x = 1
Substitute x back into Equation 2:
y = 1 + 3
y = 4
Therefore, the tens digit is 1 and the unit digit is 4. The two-digit number is 14.
The problem states that the sum of the digits of a two-digit number is 5. When the digits are interchanged, the resulting new number is 27 less than the original number.
Breaking down the Problem:
Let's break down the problem into steps to find the two-digit number:
1. Let the tens digit be x and the unit digit be y.
2. According to the given information, we have the following equations:
- x + y = 5 (Sum of the digits is 5)
- 10y + x - 10x - y = 27 (New number is 27 less than the original number)
3. Simplifying the equations:
- x + y = 5 (Equation 1)
- 9y - 9x = 27
- y - x = 3 (Dividing by 9)
- y = x + 3 (Equation 2)
Solving the Equations:
Substitute Equation 2 into Equation 1:
x + x + 3 = 5
2x + 3 = 5
2x = 2
x = 1
Substitute x back into Equation 2:
y = 1 + 3
y = 4
Therefore, the tens digit is 1 and the unit digit is 4. The two-digit number is 14.
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Sum of the digits of a two digit number is 5. When we interchange the digits, it is found the the resulting new number is less than the original number by 27. What is the two digit number?
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Sum of the digits of a two digit number is 5. When we interchange the digits, it is found the the resulting new number is less than the original number by 27. What is the two digit number? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Sum of the digits of a two digit number is 5. When we interchange the digits, it is found the the resulting new number is less than the original number by 27. What is the two digit number? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of the digits of a two digit number is 5. When we interchange the digits, it is found the the resulting new number is less than the original number by 27. What is the two digit number?.
Sum of the digits of a two digit number is 5. When we interchange the digits, it is found the the resulting new number is less than the original number by 27. What is the two digit number? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Sum of the digits of a two digit number is 5. When we interchange the digits, it is found the the resulting new number is less than the original number by 27. What is the two digit number? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of the digits of a two digit number is 5. When we interchange the digits, it is found the the resulting new number is less than the original number by 27. What is the two digit number?.
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