. A Fraction become 3/11, if 2 is added to both the numerator and the denominator. If 3 is
added to both the numerator and the denominator, it becomes t. Find the fraction.
Answers
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Step-by-step explanation:
Let the fraction be x/y.
(x+2)/(y+2) = 9/11, or
9y+18 = 11x+22
9y = 11x+4, or
45y = 55x+20 …(1)
(x+3)/(y+3) = 5/6, or
5y+15 = 6x+18, or
5y = 6x+3, or
45y = 54x+27 …(2)
Equate (1) and (2)
55x+20 = 54x+27
x = 7
Again, 9y = 11x+4, or
9y = 77 + 4 or
y = 81/9 = 9
The fraction is (7/9). Answer
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