A fraction becomes 4/5 , if 1 is added to both the numerator and the denominator. If 5 is subtracted both form the numerator and the denominator, it becomes 1/2 . Find the fraction
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Let X be the numerator and Y be the denominstor
X/Y is the fraction
(X+1)/(Y+1)=4/5
5X+5=4Y+4 or 5X—4Y=—1. (A)
X--5/Y--5 =12 or 2X—10=Y--5
2X—Y=5. (B)
10X—8Y=—2. (1)
10X—5Y=25. (2)
Subtract (2) from (1)
—3Y=—27.
Y=9. Putting value of Y in (A)
We get X=7
So fraction is 7/9
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7/9is the force
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