The sum of the numerator and the denominator of a fraction is 11. If each of the numerator and denominator is increased by 2 then the fraction becomes 2/3. Find the fraction.
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Let the numerator be x.
Let the denominator be y.
ATQ:-
x + y = 11
y = 11 - x
ATQ:-
3 (x + 2) = 2 (13 - x)
3x + 6 = 26 - 2x
x = 20
y = 11 - 20 = -9
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