SOLUTION: if a number is added to the numerator of 3/4 and twice as much is added to the demominator the result its 4/7. whats the number

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Question 406751: if a number is added to the numerator of 3/4 and twice as much is added to the demominator the result its 4/7. whats the number
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Let x represent the number added to the numerator
Question states***
%283%2Bx%29%2F%284%2B2x%29+=+4%2F7 |Cross multiplying to solve for x
Solving for x
4(4+2x) = 7(3+x)
16 +8x = 21 + 7x
x = 5
CHECKING our Answer***
(3+5)/(4+10) = 8/14 = 4/7