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Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Then the numbers are:
- a)40, 42
- b)42, 48
- c)40, 48
- d)44, 50
Correct answer is option 'C'. Can you explain this answer?
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Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of t...
Ratio of the numbers:
Let the two numbers be 5x and 6x, where x is a common factor.
Subtracting 8 from each number:
When we subtract 8 from each number, the new numbers become 5x - 8 and 6x - 8.
Ratio of the new numbers:
The new ratio is given as 4 : 5. Therefore, we can write the equation:
(5x - 8) / (6x - 8) = 4/5
Cross-multiplying:
Cross-multiplying gives us:
5(5x - 8) = 4(6x - 8)
25x - 40 = 24x - 32
Simplifying the equation:
Subtracting 24x from both sides:
25x - 24x - 40 = -32
x - 40 = -32
Adding 40 to both sides:
x = 40 - 32
x = 8
Finding the numbers:
Now that we know the value of x, we can substitute it back into the ratio equation to find the numbers.
The first number = 5x = 5 * 8 = 40
The second number = 6x = 6 * 8 = 48
Therefore, the numbers are 40 and 48.
So, the correct answer is option 'C' (40, 48).
Let the two numbers be 5x and 6x, where x is a common factor.
Subtracting 8 from each number:
When we subtract 8 from each number, the new numbers become 5x - 8 and 6x - 8.
Ratio of the new numbers:
The new ratio is given as 4 : 5. Therefore, we can write the equation:
(5x - 8) / (6x - 8) = 4/5
Cross-multiplying:
Cross-multiplying gives us:
5(5x - 8) = 4(6x - 8)
25x - 40 = 24x - 32
Simplifying the equation:
Subtracting 24x from both sides:
25x - 24x - 40 = -32
x - 40 = -32
Adding 40 to both sides:
x = 40 - 32
x = 8
Finding the numbers:
Now that we know the value of x, we can substitute it back into the ratio equation to find the numbers.
The first number = 5x = 5 * 8 = 40
The second number = 6x = 6 * 8 = 48
Therefore, the numbers are 40 and 48.
So, the correct answer is option 'C' (40, 48).
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Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Then the numbers are:a)40, 42b)42, 48c)40, 48d)44, 50Correct answer is option 'C'. Can you explain this answer?
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Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Then the numbers are:a)40, 42b)42, 48c)40, 48d)44, 50Correct answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Then the numbers are:a)40, 42b)42, 48c)40, 48d)44, 50Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Then the numbers are:a)40, 42b)42, 48c)40, 48d)44, 50Correct answer is option 'C'. Can you explain this answer?.
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Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Then the numbers are:a)40, 42b)42, 48c)40, 48d)44, 50Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Then the numbers are:a)40, 42b)42, 48c)40, 48d)44, 50Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Then the numbers are:a)40, 42b)42, 48c)40, 48d)44, 50Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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