numerator of a fraction is 3 more than twice the denominator if 1 added in denominator and subtracted from numerator than it becomes 2 find old fraction?
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Step-by-step explanation:
Let the numerator be x and denominator be y.
When in fraction, twice the numerator is 2 more than denominator, then the equation is
2x = y + 2
i.e. 2x – y = 2 --------(1)
If 3 is added to both the numerator and the denominator, the new fraction is 2/3. Then the equation is 3x + 9 = 2y + 6
i.e., 3x - 2y = -3 ---------- (2)
On solving the above equations, x = 7 and y = 12.
So, the original fraction is x/y i.e. 7/12.
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