the numerator of a fraction is less than its denominator. when 2 is added to its numerator and denominator, the result is a new fraction 3/4.what is the orginal fraction
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Let the fraction be xx−3
By the given condition, new fraction=x+2x−3+2
=x+2x−1
xx−3+x+2x−1=2029
⇒20[(x−3)(x+2)+x(x−1)]=29(x2+2x)
⇒20[x2−x−6+x2−x]=29x2+58x
⇒20[2x2−2x−6]=29x2+58x
⇒40x2−40x−120−29x2−58x=0
⇒11x2−98x−120=0
⇒11x2−110x+12x−120=0
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