CA Foundation Exam > CA Foundation Questions > Two numbers are in the ratio 2:3. If 4 be sub...
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Two numbers are in the ratio 2:3. If 4 be subtracted from each, they are in the ratio 3:5. The numbers are
- a)(16, 24)
- b)(4, 6)
- c)(2,3)
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Two numbers are in the ratio 2:3. If 4 be subtracted from each, they a...
Two numbers are in the ratio 2:3.
Let the two numbers are 2x and 3x.
If 4 be subtracted from each, they are in the ratio 3:5.
The value of x is 8.
The two numbers are
2x = 2 * 8 = 16
3x = 3 * 8 = 24
Therefore the two numbers are 16 and 24.
Most Upvoted Answer
Two numbers are in the ratio 2:3. If 4 be subtracted from each, they a...
Given information:
- Two numbers are in the ratio 2:3
- If 4 be subtracted from each, they are in the ratio 3:5
Let's assume the two numbers to be 2x and 3x (as they are in the ratio 2:3)
We can form the following equation using the second piece of information:
(2x-4)/(3x-4) = 3/5
Solving for x, we get x = 8
Therefore, the two numbers are 2x = 16 and 3x = 24 (as we assumed earlier)
Hence, the correct answer is option A (16, 24).
To summarize,
- Let the two numbers be 2x and 3x
- Form the equation (2x-4)/(3x-4) = 3/5 using the second piece of information
- Solve for x to get x=8
- Therefore, the two numbers are 16 and 24
- Two numbers are in the ratio 2:3
- If 4 be subtracted from each, they are in the ratio 3:5
Let's assume the two numbers to be 2x and 3x (as they are in the ratio 2:3)
We can form the following equation using the second piece of information:
(2x-4)/(3x-4) = 3/5
Solving for x, we get x = 8
Therefore, the two numbers are 2x = 16 and 3x = 24 (as we assumed earlier)
Hence, the correct answer is option A (16, 24).
To summarize,
- Let the two numbers be 2x and 3x
- Form the equation (2x-4)/(3x-4) = 3/5 using the second piece of information
- Solve for x to get x=8
- Therefore, the two numbers are 16 and 24
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Community Answer
Two numbers are in the ratio 2:3. If 4 be subtracted from each, they a...
Here, option A is the answer. made in step by step
16:24. ( divide it by 4)
= we get 4:6, (hence divide it by 2)
=so we get 2:3. - first value is satisfied.
subtracting 16:24 by 4
Then, it becomes 12: 20
= 12:20. (divide it by 4)
= we get 3:5 - second value also satisfied.
So both the values of question are satisfied
16:24. ( divide it by 4)
= we get 4:6, (hence divide it by 2)
=so we get 2:3. - first value is satisfied.
subtracting 16:24 by 4
Then, it becomes 12: 20
= 12:20. (divide it by 4)
= we get 3:5 - second value also satisfied.
So both the values of question are satisfied
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