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If 4 is added to the numerator of a fraction it becomes 1/3 and if 3 is added to the denominator it becomes 1/6 then find the difference between numerator and denominator is
  • a)
    20
  • b)
    21
  • c)
    22
  • d)
    24
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If 4 is added to the numerator of a fraction it becomes 1/3 and if 3 i...
(a +4)/b = 1/3 and a/(b+3) = 1/6 solve both the equations, u will get a = 5 and b = 27
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If 4 is added to the numerator of a fraction it becomes 1/3 and if 3 i...
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If 4 is added to the numerator of a fraction it becomes 1/3 and if 3 i...
Given information:
- If 4 is added to the numerator of a fraction, it becomes 1/3.
- If 3 is added to the denominator of the same fraction, it becomes 1/6.

Let's represent the fraction as x/y, where x is the numerator and y is the denominator.

From the first piece of information, we can form the equation:

(x + 4)/y = 1/3

Simplifying this equation, we get:

3(x + 4) = y

Expanding the left side, we get:

3x + 12 = y

From the second piece of information, we can form the equation:

x/(y + 3) = 1/6

Simplifying this equation, we get:

6x = y + 3

Now we have two equations with two variables. We can solve for x and y by substituting one equation into the other:

6(3x + 12) = y + 3

Expanding the left side, we get:

18x + 72 = y + 3

Substituting y = 3x + 12 (from the first equation), we get:

18x + 72 = 3x + 15

Simplifying this equation, we get:

15x = -57

Dividing both sides by 15, we get:

x = -3.8

Substituting x = -3.8 into the first equation, we get:

3(-3.8 + 4) = y

Simplifying this equation, we get:

y = 5.4

Therefore, the difference between the numerator and denominator is:

y - x = 5.4 - (-3.8) = 9.2

So the answer is not among the given options.
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If 4 is added to the numerator of a fraction it becomes 1/3 and if 3 is added to the denominator it becomes 1/6 then find the difference between numerator and denominator isa)20b)21c)22d)24e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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If 4 is added to the numerator of a fraction it becomes 1/3 and if 3 is added to the denominator it becomes 1/6 then find the difference between numerator and denominator isa)20b)21c)22d)24e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If 4 is added to the numerator of a fraction it becomes 1/3 and if 3 is added to the denominator it becomes 1/6 then find the difference between numerator and denominator isa)20b)21c)22d)24e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 4 is added to the numerator of a fraction it becomes 1/3 and if 3 is added to the denominator it becomes 1/6 then find the difference between numerator and denominator isa)20b)21c)22d)24e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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