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Two numbers are in the ratio of 3 ∶ 4. If 12 is subtracted from each, then the new ratio becomes 9 ∶ 14. What are the two numbers?
- a)30 and 40
- b)24 and 36
- c)45 and 60
- d)60 and 80
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Two numbers are in the ratio of 3 ∶ 4. If 12 is subtracted from ...
Given, ratio of two numbers = 3 ∶ 4
Let the two number are 3x and 4x.
⇒ 42x - 168 = 36x - 108
⇒ 6x = 60
⇒ x = 10
The two numbers are (3 × 10) and (4 × 10) = 30 and 40
Let the two number are 3x and 4x.
⇒ 42x - 168 = 36x - 108
⇒ 6x = 60
⇒ x = 10
The two numbers are (3 × 10) and (4 × 10) = 30 and 40
Most Upvoted Answer
Two numbers are in the ratio of 3 ∶ 4. If 12 is subtracted from ...
Given:
Ratio of two numbers = 3:4
New ratio after subtracting 12 from each number = 9:14
Let's assume the two numbers as 3x and 4x, where x is a constant.
Step 1: Formulating the equation
According to the given information, we have the following ratios:
(3x - 12)/(4x - 12) = 9/14
Step 2: Solving the equation
To solve the equation, we can cross-multiply:
14(3x - 12) = 9(4x - 12)
42x - 168 = 36x - 108
Next, let's simplify the equation:
42x - 36x = -108 + 168
6x = 60
x = 10
Step 3: Finding the numbers
Now that we have the value of x, we can substitute it back into the assumed numbers:
First number = 3x = 3 * 10 = 30
Second number = 4x = 4 * 10 = 40
Therefore, the two numbers are 30 and 40. Answer: option A.
Ratio of two numbers = 3:4
New ratio after subtracting 12 from each number = 9:14
Let's assume the two numbers as 3x and 4x, where x is a constant.
Step 1: Formulating the equation
According to the given information, we have the following ratios:
(3x - 12)/(4x - 12) = 9/14
Step 2: Solving the equation
To solve the equation, we can cross-multiply:
14(3x - 12) = 9(4x - 12)
42x - 168 = 36x - 108
Next, let's simplify the equation:
42x - 36x = -108 + 168
6x = 60
x = 10
Step 3: Finding the numbers
Now that we have the value of x, we can substitute it back into the assumed numbers:
First number = 3x = 3 * 10 = 30
Second number = 4x = 4 * 10 = 40
Therefore, the two numbers are 30 and 40. Answer: option A.
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Two numbers are in the ratio of 3 ∶ 4. If 12 is subtracted from each, then the new ratio becomes 9 ∶ 14. What are the two numbers?a)30 and 40b)24 and 36c)45 and 60d)60 and 80Correct answer is option 'A'. Can you explain this answer?
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Two numbers are in the ratio of 3 ∶ 4. If 12 is subtracted from each, then the new ratio becomes 9 ∶ 14. What are the two numbers?a)30 and 40b)24 and 36c)45 and 60d)60 and 80Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Two numbers are in the ratio of 3 ∶ 4. If 12 is subtracted from each, then the new ratio becomes 9 ∶ 14. What are the two numbers?a)30 and 40b)24 and 36c)45 and 60d)60 and 80Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbers are in the ratio of 3 ∶ 4. If 12 is subtracted from each, then the new ratio becomes 9 ∶ 14. What are the two numbers?a)30 and 40b)24 and 36c)45 and 60d)60 and 80Correct answer is option 'A'. Can you explain this answer?.
Two numbers are in the ratio of 3 ∶ 4. If 12 is subtracted from each, then the new ratio becomes 9 ∶ 14. What are the two numbers?a)30 and 40b)24 and 36c)45 and 60d)60 and 80Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Two numbers are in the ratio of 3 ∶ 4. If 12 is subtracted from each, then the new ratio becomes 9 ∶ 14. What are the two numbers?a)30 and 40b)24 and 36c)45 and 60d)60 and 80Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbers are in the ratio of 3 ∶ 4. If 12 is subtracted from each, then the new ratio becomes 9 ∶ 14. What are the two numbers?a)30 and 40b)24 and 36c)45 and 60d)60 and 80Correct answer is option 'A'. Can you explain this answer?.
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