4. A fraction whose 1/3 when 1 is subtracted from the numerator and it becomes 1/4
when 8 is added to the denominator. Find the fraction.
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Let us assume thenumerator to be =x
Let us assume thedenominator to be =y
Hence the fractionbecomes=x/y
Accordingtothe given condition
(x−1)/y=1/3
⇒y=3x−3 ———-(i)
Accordingtothesecond givencondition,
x/(y+8)=1/4
⇒y+8=4x
⇒y=4x−8 ————(ii)
Combining(i)and(ii) we get,
3x−3=4x−8
⇒3x−4x=−8+3
−x=−5
⇒x=5
from(i)
y=15−3=12
So,the fraction is =5/12
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