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The ratio between two numbers is 7:5. If 5 is subtracted from each of them, the new ratio becomes 3:5. Find the numbers.
- a)7/2, 5/2
- b)3/2, 7/2
- c)9/2, 7/2
- d)11/2, 5/2
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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The ratio between two numbers is 7:5. If 5 is subtracted from each of ...
Answer – A.7/2, 5/2 Explanation : (7x – 5)/(5x – 5) = 3/5 X = 1/2 so the numbers are 7/2 and 5/2
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The ratio between two numbers is 7:5. If 5 is subtracted from each of ...
To solve this question, we can set up a system of equations using the given information.
Let's assume the two numbers are 7x and 5x, where x is a common factor. This assumption is based on the given ratio of 7:5.
According to the question, if we subtract 5 from each of the numbers, the new ratio becomes 3:5.
So, after subtracting 5 from each number, we have:
7x - 5 and 5x - 5
The new ratio is 3:5, which means:
(7x - 5)/(5x - 5) = 3/5
To solve this equation, we can cross-multiply:
5(7x - 5) = 3(5x - 5)
Expanding and simplifying:
35x - 25 = 15x - 15
Combine like terms:
35x - 15x = 25 - 15
20x = 10
Divide both sides by 20:
x = 10/20
Simplifying:
x = 1/2
Now that we have the value of x, we can substitute it back into the original assumption to find the numbers:
First number = 7x = 7(1/2) = 7/2
Second number = 5x = 5(1/2) = 5/2
Therefore, the two numbers are 7/2 and 5/2.
Hence, the correct answer is option A (7/2, 5/2).
Let's assume the two numbers are 7x and 5x, where x is a common factor. This assumption is based on the given ratio of 7:5.
According to the question, if we subtract 5 from each of the numbers, the new ratio becomes 3:5.
So, after subtracting 5 from each number, we have:
7x - 5 and 5x - 5
The new ratio is 3:5, which means:
(7x - 5)/(5x - 5) = 3/5
To solve this equation, we can cross-multiply:
5(7x - 5) = 3(5x - 5)
Expanding and simplifying:
35x - 25 = 15x - 15
Combine like terms:
35x - 15x = 25 - 15
20x = 10
Divide both sides by 20:
x = 10/20
Simplifying:
x = 1/2
Now that we have the value of x, we can substitute it back into the original assumption to find the numbers:
First number = 7x = 7(1/2) = 7/2
Second number = 5x = 5(1/2) = 5/2
Therefore, the two numbers are 7/2 and 5/2.
Hence, the correct answer is option A (7/2, 5/2).
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The ratio between two numbers is 7:5. If 5 is subtracted from each of them, the new ratio becomes 3:5. Find the numbers.a)7/2, 5/2b)3/2, 7/2c)9/2, 7/2d)11/2, 5/2e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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The ratio between two numbers is 7:5. If 5 is subtracted from each of them, the new ratio becomes 3:5. Find the numbers.a)7/2, 5/2b)3/2, 7/2c)9/2, 7/2d)11/2, 5/2e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The ratio between two numbers is 7:5. If 5 is subtracted from each of them, the new ratio becomes 3:5. Find the numbers.a)7/2, 5/2b)3/2, 7/2c)9/2, 7/2d)11/2, 5/2e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio between two numbers is 7:5. If 5 is subtracted from each of them, the new ratio becomes 3:5. Find the numbers.a)7/2, 5/2b)3/2, 7/2c)9/2, 7/2d)11/2, 5/2e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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