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If the numerator of a fraction is increased by six, the value of the fraction will increase by one. If the denominator of the original fraction is increased by 36, the value of the original fraction will decrease by one. What is the original fraction?

 Feb 21, 2019
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x/y            (x+6)/y  = x/y + 1      and     x/(y+36) = x/y -1      solve these two equations for x and y

                 x+6   = x + y             

                  6 = y                        and    x/(6+36)=x/6  - 1     results in  x=7

 

 

original fraction thus equals   x/y = 7/6         

      add 6 to numerator , it increases by 1     add 36 to denominator   7/42 = 1/6    ...it has decreased by 1 

 Feb 21, 2019
edited by ElectricPavlov  Feb 21, 2019
edited by ElectricPavlov  Feb 21, 2019

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