Question

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​

Answer 1

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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