The numerator of a fraction is 2 less than its denominator. If 3 is added to both numerator and denominator then the sum becomes 53/35. Find the fraction.
Answers
Given : Correct Question could be : The numerator of a fraction is 2 less than its denominator. If 3 is added to both numerator and denominator then the sum becomes 33/35 or 53/55
To Find : the fraction.
Solution:
numerator of a fraction is 2 less than its denominator.
Let say fraction is x/(x + 2)
3 is added to both numerator and denominator
=> (x + 3)/(x + 2+ 3) = 33/35
=> (x + 3)/(x + 5) = 33/35
=> 35(x + 3) = 33(x + 5)
=> 35x + 105 = 33x + 165
=> 2x = 60
=> x = 30
Fraction is 30/32
(x + 3)/(x + 5) = 53/55
=> 55x + 165 = 53x + 265
=> 2x = 100
=> x = 50
Fraction is 50/52
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