A fraction becomes 9/11 if 2 is added to both the nominator and denominator.if 3 is added to both the nominator and the denominator it becomes 5/6 find the fraction.
Answers
Answer:
>> Let the numerator of fraction be x and denominator be y.
>> A fraction becomes 9/11 if 2 is added to both the nominator and denominator.
(x + 2)/(y + 2) = 9/11
11* (x + 2) = 9* (y + 2)
11x - 9y + 4= 0 ] *6
66x - 54y + 24= 0 .....i
>> When 3 is added to both the nominator and the denominator it becomes 5/6.
(x + 3)/(y + 3) = 5/6
6* (x + 3) = 5* (y + 3)
6x - 5y + 3 = 0 ] *11
66x - 55y + 33 = 0 .....ii
>> Subtracting ii from i,
we get,
y - 9 = 0
y = 9
>> Putting value of y in i
we get,
x = 7.
>> Hence, Fraction is 7/9.
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