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)   (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(10556)   (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 ?
 

Answer by ikleyn(52855)   (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

= x

4 = x


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