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What must be added to each term of the ratio 49:68, so that it becomes 3:4?
- a)3
- b)5
- c)8
- d)9
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
What must be added to each term of the ratio 49:68, so that it becomes...
By option testing ,that is if we add 8 to 49 and 68 it becomes 57:76.....both the terms are divisible by 19(19×3:19×4) and so simplifying it we get 3:4...
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What must be added to each term of the ratio 49:68, so that it becomes...
Given ratio is 49:68 and it needs to be converted to 3:4 by adding a certain number to each term of the ratio. Let's assume the number to be added is x.
Calculating the common multiplier:
To convert 49 into 3, we need to multiply it by 1/16.
To convert 68 into 4, we need to multiply it by 1/17.
Hence, the common multiplier is (1/16)x = (1/17)x.
Calculating x:
We know that (1/16)x + 49 = (1/17)x + 68 (since the ratio is equal after adding x to each term).
Solving for x, we get x = 136.
Therefore, the number to be added to each term of the ratio is 136.
Verification:
49 + 136 = 185 and 68 + 136 = 204.
Now, (185/204) = (3/4)
Hence, the ratio 185:204 is equal to 3:4, which confirms our answer.
Calculating the common multiplier:
To convert 49 into 3, we need to multiply it by 1/16.
To convert 68 into 4, we need to multiply it by 1/17.
Hence, the common multiplier is (1/16)x = (1/17)x.
Calculating x:
We know that (1/16)x + 49 = (1/17)x + 68 (since the ratio is equal after adding x to each term).
Solving for x, we get x = 136.
Therefore, the number to be added to each term of the ratio is 136.
Verification:
49 + 136 = 185 and 68 + 136 = 204.
Now, (185/204) = (3/4)
Hence, the ratio 185:204 is equal to 3:4, which confirms our answer.
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What must be added to each term of the ratio 49:68, so that it becomes 3:4?a)3b)5c)8d)9Correct answer is option 'C'. Can you explain this answer?
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