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The difference of two numbers is 72 and the question obtained by dividing the one by other is 3 find the numbers.?
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The difference of two numbers is 72 and the question obtained by divid...
To solve the problem of finding two numbers based on the given conditions, we can set up equations based on the provided information.
Step 1: Define the Variables
Let the two numbers be \( x \) and \( y \).
Step 2: Set Up the Equations
From the problem, we have two key pieces of information:
Step 3: Express One Variable in Terms of Another
From the ratio \( \frac{x}{y} = 3 \), we can express \( x \) in terms of \( y \):
\( x = 3y \)
Step 4: Substitute and Solve
Now, substitute \( x = 3y \) into the difference equation:
\( 3y - y = 72 \)
This simplifies to:
\( 2y = 72 \)
Dividing both sides by 2 gives:
\( y = 36 \)
Now, substitute \( y \) back to find \( x \):
\( x = 3y = 3 \times 36 = 108 \)
Step 5: Conclusion
The two numbers are:
Thus, the solution to the problem reveals that the two numbers are 108 and 36.
Step 1: Define the Variables
Let the two numbers be \( x \) and \( y \).
Step 2: Set Up the Equations
From the problem, we have two key pieces of information:
- The difference of the two numbers is 72:
\( x - y = 72 \) - The ratio of the two numbers is 3:
\( \frac{x}{y} = 3 \)
Step 3: Express One Variable in Terms of Another
From the ratio \( \frac{x}{y} = 3 \), we can express \( x \) in terms of \( y \):
\( x = 3y \)
Step 4: Substitute and Solve
Now, substitute \( x = 3y \) into the difference equation:
\( 3y - y = 72 \)
This simplifies to:
\( 2y = 72 \)
Dividing both sides by 2 gives:
\( y = 36 \)
Now, substitute \( y \) back to find \( x \):
\( x = 3y = 3 \times 36 = 108 \)
Step 5: Conclusion
The two numbers are:
- \( x = 108 \)
- \( y = 36 \)
Thus, the solution to the problem reveals that the two numbers are 108 and 36.
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The difference of two numbers is 72 and the question obtained by dividing the one by other is 3 find the numbers.?
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The difference of two numbers is 72 and the question obtained by dividing the one by other is 3 find the numbers.? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The difference of two numbers is 72 and the question obtained by dividing the one by other is 3 find the numbers.? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference of two numbers is 72 and the question obtained by dividing the one by other is 3 find the numbers.?.
The difference of two numbers is 72 and the question obtained by dividing the one by other is 3 find the numbers.? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The difference of two numbers is 72 and the question obtained by dividing the one by other is 3 find the numbers.? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference of two numbers is 72 and the question obtained by dividing the one by other is 3 find the numbers.?.
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