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The sum of the numerator and denominator of a certain fraction is 8. If 2 is added to both the numerator and the denominator the value of the fraction increased by 4/35, then the fraction is:
  • a)
    1/7
  • b)
    3/5
  • c)
    5/3
  • d)
    Can not be determined
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The sum of the numerator and denominator of a certain fraction is 8. ...
x + y = 8 ……(i)
or 35 (y - x) = 2y (y + 2) (ii)
from (i)
x = 8 - y
substituting this value in (ii)
35 (y - 8 + y) - 2y (y + 2)
35 (y - 4) = y (y + 2)
y2 - 33y + 140 = 0
y = 28 or 5
We can't take 28, taking y = 5, x will become 3
Therefore x/y = 3/5
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The sum of the numerator and denominator of a certain fraction is 8. If 2 is added to both the numerator and the denominator the value of the fraction increased by 4/35, then the fraction is:a)1/7b)3/5c)5/3d)Can not be determinedCorrect answer is option 'B'. Can you explain this answer?
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