SOLUTION: If a certain number is added to both the numerator and denominator of the fraction 7 _ 9 , the result is 5 _ 7 . Find the number.

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Question 926557: If a certain number is added to both the numerator
and denominator of the fraction 7
_
9
, the result is 5
_
7
.
Find the number.
Answer by ptfile(81) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the number added to numerator and denominator
If a certain number is added to both the numerator
and denominator of the fraction 7/9, the result is 5/7.
(x+7)/(x+9) = 5/7
7(x+7) = 5(x+9)
7x+49 = 5x+45
2x = -4
x = -2
The number is -2.
Check
(-2+7)/(-2+9)= 5/7
5/7 = 5/7