The denominator of a fraction is 4 more than twice its numerator. Denominater becomes 12 times the numerator,if both the numerator and the denominater are reduced by 6. Find the fraction
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The denominator of a fraction is 4 more than twice its numerator. Denominater becomes 12 times the numerator,if both the numerator and the denominater are reduced by 6. Find the fraction
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let the fraction be x/y
denominator of a fraction is four more than twice of its numerator
y=4+2x
2x-y=-4,,,,,,,,(1)
y-6=12(x-6)
y-6=12x-72
12x-y=66,,,,,,(2)
subtracting first from second
12x-2x-y-(-y)=66-(-4)
10x=70
x=70/10=7
putting value of x=7 in(1)
2(y)-y=-4
14-y=-4
y=14+4=18
fraction obtained=7/18
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