A fraction becomes 1/3, if 1 is subtracted from both the numerator and denominator. if 1 is is added to the both numerator and denominator it becomes 1/2.find the fraction
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Step-by-step explanation:
Let the numerator be 'a' and denominator be 'b' Given, fraction becomes 13 if 1 is subtracted from both its numerator and denominator. If 1 is added to both the numerator and denominator, it becomes 1/2.
⇒ 3a-3=b-1
⇒ b=3a-2-----(1)
Also, if 1 is added to both the numerator and denominator, it becomes 1/2
⇒ b=2a+1-----(2)
Equating (1) and (2)
→ 3a - 2 - 2a + 1
→ a=3
Thus, b = 7
Fraction is 3/7
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