A fraction is such that the numerator and difference is 4 less than than the denominator. If one is subtracted from numerator and 3 is added to the denominator, the fraction becomes 1/5. find the original fraction
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The numerator of a fraction is 4 less than the denominator
1 is added to both its numerator and denominator, it becomes 1/2.
So let the fraction to be predicted a/b
As per the given condition
Numerator= denominator-4
a=b−4
=b−a=4
As per the given data
if 1 added to both numerator and denominator then fraction becomes 1/2
a+1 / b+1 = 1/2
On cross multiplying the above equation we get,
2a+2=b+1
2a−b=−1
(2a−b)+(b−a)
=4−1
a=3,
and b=7
Fraction= 3/7
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