SOLUTION: If the same integer is added to the numerator of the fraction 2/7 and subtracted from the denominator , the fraction becomes 2 . what is the integer ?

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Question 1055117: If the same integer is added to the numerator of the fraction 2/7 and subtracted from the denominator , the fraction becomes 2 . what is the integer ?
Found 3 solutions by tehreem, MathTherapy, ikleyn:
Answer by tehreem(2) About Me  (Show Source):
You can put this solution on YOUR website!
let the integer be x
2+x / 7-x = 2
2+x = 14 - 2x
2-14 = -2x - x

-16 = -3x
16/3 = x
8= x

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

If the same integer is added to the numerator of the fraction 2/7 and subtracted from the denominator , the fraction becomes 2 . what is the integer ?
highlight_green%28matrix%281%2C2%2C+%22Integer%3A%22%2C+4%29%29

Answer by ikleyn(52853) About Me  (Show Source):
You can put this solution on YOUR website!
.
let the integer be x
2+x / 7-x = 2
2+x = 14 - 2x
2-14 = -2x - x

-12 = -3x

%28-12%29%2F%28-3%29 = x

4 = x