SOLUTION: In a fraction twice the numerator is 2 more than the numerator. If 3 is added to eachb the numerator and the denominator the new fraction formed is 2/3 find . F ind the original f

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Question 400540: In a fraction twice the numerator is 2 more than the numerator. If 3 is added to eachb the numerator and the denominator the new fraction formed is 2/3 find . F
ind the original fraction
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean
In a fraction twice the numerator is 2 more than the denominator.
2n = d + 2
or
d = 2n - 2
:
If 3 is added to each the numerator and the denominator the new fraction formed is 2/3.
%28n%2B3%29%2F%28d%2B3%29 = 2%2F3
Cross multiply
2(d+3) = 3(n+3)
2d + 6 = 3n + 9
2d = 3n + 9 - 6
2d = 3n + 3
replace d with (2n-2)
2(2n-2) = 3n + 3
4n - 4 = 3n + 3
4n - 3n = 3 + 4
n = 7 is the numerator
then
d = 2(7) - 2
d = 12
:
7%2F12 is the fraction
:
:
Check solution
%287%2B3%29%2F%2812%2B3%29 = 10%2F15 which is 2/3