The numerator of a fraction is 3 less than the denominator.If the numerator and denominator are both increased by 2, the new fraction becomes 6 by 7 .Find the original fraction
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Answer:
Let the numerator be x and the denominator be y, then
Original fraction = x/y
If x = y-3 then
Original fraction = y-3/y
If both the numerator and denominator is increased by 2 then,
y-3+2/y+2 = y-1/y+2
This equals to 6/7
New fraction is y-1/y+2 = 6/7
( by cross multiplication)
(y-1) 7 = (y+2) 6
7y-7 = 6y + 12
7y-6y = 12+7
y = 19
Original fraction = y-3/y
= 19-4/19
= 16/19
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