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Two numbers are in the ratio 3 : 4; if 6 be added to each terms of the ratio, then the new ratio will be 4 : 5, then the numbers are
  • a)
    14, 20
  • b)
    17, 19
  • c)
    18 and 24
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two numbers are in the ratio 3 : 4; if 6 be added to each terms of the...
Given Information:

- Two numbers are in the ratio 3 : 4
- If 6 is added to each term of the ratio, then the new ratio will be 4 : 5

To Find: The two numbers

Solution:

Let the two numbers be 3x and 4x (as they are in the ratio of 3 : 4)

According to the given condition, if 6 is added to each term of the ratio, then the new ratio will be 4 : 5. Therefore,

- (3x + 6) : (4x + 6) = 4 : 5
- 5(3x + 6) = 4(4x + 6)
- 15x + 30 = 16x + 24
- x = 6

Therefore, the two numbers are:

- First number = 3x = 3(6) = 18
- Second number = 4x = 4(6) = 24

Therefore, the correct answer is option (C) 18 and 24.
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Community Answer
Two numbers are in the ratio 3 : 4; if 6 be added to each terms of the...
Let the two numbers be 3x and 4x. By give condition, (3x+6)/(4x+6)=4/5 Solving for x, we get x=6. Hence, original numbers were 3*6 =18 and 4*6=24. Hope this helps
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Two numbers are in the ratio 3 : 4; if 6 be added to each terms of the ratio, then the new ratio will be 4 : 5, then the numbers area)14, 20b)17, 19c)18 and 24d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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