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Question:

A fraction becomes 1/3 when 2 is subtracted from the numerator and it becomes 1/2 when 1 is subtracted from the denominator. Find the fraction.

Solution:

Let the fraction bexyFrom the given conditionsx𕒶y=13⟹y=3x𕒺⋯(1)xy𕒵=12⟹y=2x+1⋯(2)From(1) (2)2x+1=3x𕒺⟹x=7⟹y=3(7)𕒺=15So the fraction is715