the sum of numerator and denominator of a fraction is 8 . if 3 is added to both the numerator and denominator the fraction becomes 3/4 . find the fraction
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Answer:
Step-by-step explanation:
Let the fraction be x/y
According to the question,
x + y = 8 ….(1)
x+3/y+3 = 3/4
4x+12=3y+9
4x-3y=-3....(2)
Multiplying (1) by 3, we get
3x + 3y = 24 ….(3)
Adding (2) and (3), we get
7x = 21
x = 3
y = 8 – x = 8 – 3 = 5
Thus, the fraction is 3/5
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