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.The denominator of a fraction is 4 more thanits numeratoron subtracting Them eachnumerater and the denominater thefore traction becomes 1/2 find originalnumber |
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Answer» Let the numerator and DENOMINATOR of the fraction be X and y RESPECTIVELY. Then, Fraction =yx It is given that Denominator =2 (Numerator) +4 ⇒y=2x+4 ⇒2x−y+4=0 According to the given condition, we have y−6=12(x−6) ⇒y−6=12x−72 ⇒12x−y−66=0 Thus, we have the FOLLOWING system of equations 2x−y+4=0 .(i) 12x−y−66=0 ..(ii) Subtracting equation (i) from equation (ii), we get 10x−70=0 ⇒x=7 Putting x=7 in equation (i), we get 14−y+4=0 ⇒y=18 Hence, required fraction =187. subscribe me on youtube |
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