# SOLUTION: The denominator of a rational number is five more than the numerator.if three is added to both numerator and denominator the number becomes 1/2.Find the rational number.

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: The denominator of a rational number is five more than the numerator.if three is added to both numerator and denominator the number becomes 1/2.Find the rational number.      Log On

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 Question 449630: The denominator of a rational number is five more than the numerator.if three is added to both numerator and denominator the number becomes 1/2.Find the rational number.Found 2 solutions by edjones, ankor@dixie-net.com:Answer by edjones(7569)   (Show Source): You can put this solution on YOUR website!n/d n/(n+5) (n+3)/(n+8)=1/2 n+3=(n+8)/2 2n+6=n+8 n=2 d=7 . 2/7 the rational number. . Ed Answer by ankor@dixie-net.com(15622)   (Show Source): You can put this solution on YOUR website!The denominator of a rational number is five more than the numerator. d = n + 5 : if three is added to both numerator and denominator the number becomes 1/2. = Cross multiply 2(n+3) = d + 3 2n + 6 = d + 3 2n = d + 3 - 6 2n = d - 3 Replace d with (n+5) 2n = (n+5) - 3 2n - n = 5 - 3 n = 2 then d = 2+5 d = 7 : is the number : : Check this, if you add 3 to both numerator and denominator 5/10 = 1/2