The numerator of a fraction is 3 less than denominator. If 2 is added to both numerator as well as denominator, then sum of the new and original fraction is 29/30. Find the fraction.
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Answer:
numerator = x-3
denominator = x
x-3/x
_______________________________
When 2 is added
Now
numerator = x-3+2
denominator = x+2
fraction obtained is 29/30
numerator = x-1
denominator = x+2
x-1/x+2 = 29/30
cross multiply
29(x+2) = 30(x-1)
29x+58 = 30x-30
58+30=30x-29x
88=x
Denominator = 88
Numerator = 85
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