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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?
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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...
Let the fraction be x/y.

Adding 4 to the numerator, we get (x+4)/y.

According to the first condition, (x+4)/y = 1/3.

Cross-multiplying, we get 3(x+4) = y.

Adding 3 to the denominator, we get x/(y+3).

According to the second condition, x/(y+3) = 1/6.

Cross-multiplying, we get 6x = y+3.

Now we have two equations:

3(x+4) = y
6x = y+3

Substituting the value of y from the first equation into the second equation, we get:

6x = 3(x+4) + 3

Simplifying, we get:

3x = 15

x = 5

Substituting x=5 into one of the equations, we get:

y = 3(x+4) = 27

Therefore, the fraction is 5/27.

The difference between the numerator and denominator is 27-5 = 22.

Hence, the correct answer is option C (22).
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