Question

The numerator of a fraction is 5 more than the denominator, if 6 is subtracted from its denominator and 2 is added to the denominator, the new fraction is 1/2​

Answer 1

Let the denominator be x

Numerator = x+5

New Denominator = x - 6 + 2

= x - 4

x + 5 / x - 4 = 1/2

2(x + 5) = x - 4

2x + 10 = x - 4

2x - x = -4 - 10

x = -14

Original denominator = -14

Original numerator = -14 + 5

= -9

Fraction = -14/-9

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