When the numerator of a fraction is increased by 6 it become 1/2 when the dominator is increased by 9 it become 1/3 find the fraction
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Step-by-step exjplanation
Let the numerator be x
And deniminatir be y
CASE 1: x+6/y=1/2×
(x+6)×2=y
2x+12=y
2x-y=-12......(1)
CASE 2: x/y+9=1/3
3x=y+9
3x-y=9........(2)
From (1) and (2)
2x-y= -12
3x-y= 9
(-) (+)=(-)
-x =-21
x. =21
Putting value of x in equation 1
2x+12=y
21×2+12=y
42+12=y
52=y
X=21 and Y=52
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