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...
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.