the denominator of a rational number is greater than its numerator by 3 if numerator is increased by 14 and denominator is decreased by 3 the new number become 11 upon 4 what is the original fraction
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Step-by-step explanation:
let numerator =x
denominator= x+3
A.T.Q.
numerator= x+14
denominator= x+3-3= x+0= x
x+14/x=11/4
x+14=11x/4
4(x+14)= 11x
4x+ 56= 11x
4x-11x= -56
-7x= -56
x=-56|-7 (-×-=+)
x= 8
numerator =8
denominator=x +3= 8+3=11
original fraction= 8/11
checked..
putting x=8
numerator=x+14= 8 +14= 22
denominator=x=8
L.H.S = R.H.S
22/8=11/4
=11/4= 11/4
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hope it help you
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