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24 is divided into two parts such a 7 times the first part added to 5 times the second part makes 146 find each part?
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24 is divided into two parts such a 7 times the first part added to 5 ...
Introduction
To solve the problem of dividing 24 into two parts based on the given conditions, we can approach it step-by-step.
Step 1: Define the Variables
- Let the first part be represented as "x".
- Consequently, the second part will be "24 - x" since the total is 24.
Step 2: Set Up the Equation
- According to the problem, the equation based on the given conditions is:
- 7 times the first part (7x) plus 5 times the second part (5(24 - x)) equals 146.
Step 3: Formulate the Equation
- Expanding the equation:
- 7x + 5(24 - x) = 146
- This simplifies to: 7x + 120 - 5x = 146
Step 4: Combine Like Terms
- Combine the terms for "x":
- (7x - 5x) + 120 = 146
- This results in: 2x + 120 = 146
Step 5: Solve for x
- Subtract 120 from both sides:
- 2x = 146 - 120
- 2x = 26
- Now, divide by 2:
- x = 13
Step 6: Find the Second Part
- Substitute back to find the second part:
- Second part = 24 - x = 24 - 13 = 11
Conclusion
- The two parts are:
- First part: 13
- Second part: 11
These values satisfy the original condition, confirming the solution is correct.
To solve the problem of dividing 24 into two parts based on the given conditions, we can approach it step-by-step.
Step 1: Define the Variables
- Let the first part be represented as "x".
- Consequently, the second part will be "24 - x" since the total is 24.
Step 2: Set Up the Equation
- According to the problem, the equation based on the given conditions is:
- 7 times the first part (7x) plus 5 times the second part (5(24 - x)) equals 146.
Step 3: Formulate the Equation
- Expanding the equation:
- 7x + 5(24 - x) = 146
- This simplifies to: 7x + 120 - 5x = 146
Step 4: Combine Like Terms
- Combine the terms for "x":
- (7x - 5x) + 120 = 146
- This results in: 2x + 120 = 146
Step 5: Solve for x
- Subtract 120 from both sides:
- 2x = 146 - 120
- 2x = 26
- Now, divide by 2:
- x = 13
Step 6: Find the Second Part
- Substitute back to find the second part:
- Second part = 24 - x = 24 - 13 = 11
Conclusion
- The two parts are:
- First part: 13
- Second part: 11
These values satisfy the original condition, confirming the solution is correct.
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24 is divided into two parts such a 7 times the first part added to 5 times the second part makes 146 find each part?
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24 is divided into two parts such a 7 times the first part added to 5 times the second part makes 146 find each part? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 24 is divided into two parts such a 7 times the first part added to 5 times the second part makes 146 find each part? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 24 is divided into two parts such a 7 times the first part added to 5 times the second part makes 146 find each part?.
24 is divided into two parts such a 7 times the first part added to 5 times the second part makes 146 find each part? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 24 is divided into two parts such a 7 times the first part added to 5 times the second part makes 146 find each part? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 24 is divided into two parts such a 7 times the first part added to 5 times the second part makes 146 find each part?.
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