Question
A fraction becomes 2/3 when one is added to both the
numerator and the denominator of the fraction, and it becomes 1/2, when 2 is subtracted from both the numerator and denominator. What is the sum of the numerator and denominator of the original fraction?Solution
2x-4=y-2 2x-y =2 y=2x-2 … (2) After Solving Equations- x=5 and y=8 So, fraction is =5/8 Sum of the numerator and denominator of the original fraction=5+8=13.
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