.[ Identify the correct equations for the problem . ] "The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction".
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Step-by-step explanation:
let the fraction be yx
given y=2x+4
2x−y=−4
multiply the equation with 6
12x−6y=−24................... (1)
(y−6)=12(x−6)
12x−y=66........................(2)
subtract (1) and (2)
y=18,x=7
therefore the fraction is 187
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