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A two digit number is obtained by either multiplying the sum of the digits by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. Find the number.?
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A two digit number is obtained by either multiplying the sum of the di...
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A two digit number is obtained by either multiplying the sum of the di...
Analysis of the Problem:
To find the two-digit number using the given conditions, we need to consider the sum and difference of the digits and then apply the given formulas to determine the number. Let's break down the problem step by step.
Step 1: Representing the Number:
Let the two-digit number be represented by AB, where A is the digit in the tens place and B is the digit in the units place.
Step 2: Formulating Equations:
According to the given conditions:
1. 8*(A + B) + 1 = 10A + B
2. 13*(A - B) + 2 = 10A + B
Step 3: Solving the Equations:
By solving the equations simultaneously, we can find the values of A and B that satisfy both conditions.
Step 4: Finding the Two-Digit Number:
Once we determine the values of A and B, we can construct the two-digit number AB.
Detailed Explanation:
- Start by representing the two-digit number as AB.
- Formulate two equations based on the given conditions.
- Solve the equations simultaneously to find the values of A and B.
- Use the values of A and B to determine the two-digit number AB.
By following these steps, you can successfully find the two-digit number that satisfies the given conditions.
To find the two-digit number using the given conditions, we need to consider the sum and difference of the digits and then apply the given formulas to determine the number. Let's break down the problem step by step.
Step 1: Representing the Number:
Let the two-digit number be represented by AB, where A is the digit in the tens place and B is the digit in the units place.
Step 2: Formulating Equations:
According to the given conditions:
1. 8*(A + B) + 1 = 10A + B
2. 13*(A - B) + 2 = 10A + B
Step 3: Solving the Equations:
By solving the equations simultaneously, we can find the values of A and B that satisfy both conditions.
Step 4: Finding the Two-Digit Number:
Once we determine the values of A and B, we can construct the two-digit number AB.
Detailed Explanation:
- Start by representing the two-digit number as AB.
- Formulate two equations based on the given conditions.
- Solve the equations simultaneously to find the values of A and B.
- Use the values of A and B to determine the two-digit number AB.
By following these steps, you can successfully find the two-digit number that satisfies the given conditions.
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A two digit number is obtained by either multiplying the sum of the digits by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. Find the number.?
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A two digit number is obtained by either multiplying the sum of the digits by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. Find the number.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A two digit number is obtained by either multiplying the sum of the digits by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. Find the number.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A two digit number is obtained by either multiplying the sum of the digits by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. Find the number.?.
A two digit number is obtained by either multiplying the sum of the digits by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. Find the number.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A two digit number is obtained by either multiplying the sum of the digits by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. Find the number.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A two digit number is obtained by either multiplying the sum of the digits by 8 and adding 1 or by multiplying the difference of the digits by 13 and adding 2. Find the number.?.
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