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A positive number is 5 times another number. if 21 is added to both the numbers,then one of the new numbers becomes twice the other new number. what are the number?
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A positive number is 5 times another number. if 21 is added to both th...
Given Information:
- Let the smaller number be x.
- The larger number is 5 times the smaller number, so it is 5x.
- When 21 is added to both numbers:
- The new smaller number is x + 21.
- The new larger number is 5x + 21.
Given Condition:
- The new larger number is twice the new smaller number.
- Therefore, 5x + 21 = 2(x + 21).
Solving the Equation:
- Simplify the equation: 5x + 21 = 2x + 42.
- Rearrange the equation: 5x - 2x = 42 - 21.
- Solve for x: 3x = 21.
- x = 7.
Calculating the Numbers:
- The smaller number is x = 7.
- The larger number is 5x = 5 * 7 = 35.
Checking the Condition:
- Add 21 to both numbers:
- New smaller number: 7 + 21 = 28.
- New larger number: 35 + 21 = 56.
- Is one number twice the other?
- 56 = 2 * 28.
- The condition holds true.
Therefore, the two numbers are 7 and 35.
- Let the smaller number be x.
- The larger number is 5 times the smaller number, so it is 5x.
- When 21 is added to both numbers:
- The new smaller number is x + 21.
- The new larger number is 5x + 21.
Given Condition:
- The new larger number is twice the new smaller number.
- Therefore, 5x + 21 = 2(x + 21).
Solving the Equation:
- Simplify the equation: 5x + 21 = 2x + 42.
- Rearrange the equation: 5x - 2x = 42 - 21.
- Solve for x: 3x = 21.
- x = 7.
Calculating the Numbers:
- The smaller number is x = 7.
- The larger number is 5x = 5 * 7 = 35.
Checking the Condition:
- Add 21 to both numbers:
- New smaller number: 7 + 21 = 28.
- New larger number: 35 + 21 = 56.
- Is one number twice the other?
- 56 = 2 * 28.
- The condition holds true.
Therefore, the two numbers are 7 and 35.
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A positive number is 5 times another number. if 21 is added to both the numbers,then one of the new numbers becomes twice the other new number. what are the number?
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A positive number is 5 times another number. if 21 is added to both the numbers,then one of the new numbers becomes twice the other new number. what are the number? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A positive number is 5 times another number. if 21 is added to both the numbers,then one of the new numbers becomes twice the other new number. what are the number? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A positive number is 5 times another number. if 21 is added to both the numbers,then one of the new numbers becomes twice the other new number. what are the number?.
A positive number is 5 times another number. if 21 is added to both the numbers,then one of the new numbers becomes twice the other new number. what are the number? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A positive number is 5 times another number. if 21 is added to both the numbers,then one of the new numbers becomes twice the other new number. what are the number? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A positive number is 5 times another number. if 21 is added to both the numbers,then one of the new numbers becomes twice the other new number. what are the number?.
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