if 1 is added to the numerator of a fraction it is reduced to 3/4 and if 1 is subtracted from numerator it is reduced to 1/2 find the fraction.
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let the numerator be x
let the denominater be y
so, fraction be = x/y
A.T.Q
x +1/y = 3/4
(then cross multiply )
4x+4= 3y
4x-3y =-4. (1)
x-1 /y= 1/2
(then cross multiply)
2x-2 = y
2x-y= 2 (2)
(then subtract)
4x-3y=4
2x-y=2
-. +. -
2x-4y=2
put y= 8 in 1st equation
4x-3y= 4
4x-3(8)= 4
4x - 24= 4
4x= -4 + 24
4x = 20
x= 20/4
x= 5
Step-by-step explanation:
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