Question
A fraction becomes 2/3 when 1 is added to both, its numerator and denominator.
And ,it becomes 1/2 when 1 is subtracted from both the numerator and denominator. Find the fraction.
A fraction becomes 2/3 when 1 is added to both, its numerator and denominator.
And ,it becomes 1/2 when 1 is subtracted from both the numerator and denominator. Find the fraction.
Answer: Option C
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Let the required fraction be x/y. Then,
x+1 /y+1 = 2/3 =>3x−2y =−1.....(i) and x−1/y−1 = 1 / 2
↔2x−y = 1....(ii)
Solving (i) and (ii), we get : x = 3 , y = 5
therefore, Required fraction= 3 / 5.
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