The sum of the numerator and denominator of a fraction is 12 if the denominator is increased by 1the fraction become 7/6find the fraction
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▪︎ Let the fraction be x/y.
=》 x+y = 12. ---(1)
=》 x/y+1 = 7/6.
=》 6(x) = 7(y+1).
=》 6x = 7y+7.
=》 6x-7y = 7. ---(2).
▪︎ By multiplying eq(1) by 6 we get,
=》 6(x+y = 12).
=》 6x+6y = 72. ---(3).
▪︎ By Subtracting eq(2) From (3) we get,
=》 (6x+6y)-(6x-7y) = 72-7.
=》 6x+6y-6x+7y = 65.
=》 13y = 65.
=》 y = 65/13.
▪︎ Putting y=5. in eq(1) we get,
=》 x+5 = 12.
=》 x = 12-5.
= x/y
☆ Therefore the required fraction is 7/5.
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