The numerator of a fraction is 5 less then its denominator. If 1 is added to the numerator and to the denominator the new fraction is two third. Find the fraction
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Answered by
1
Answer:
Let the numerator of the fraction represent
x - 5
By this we can then make a statement of how x represents the denominator.
From here we will create an equation and simply solve for x...
(x - 5)/x = 2/3
(x - 5 + 1)/ x + 1 = 2/3
(x - 4)/(x + 1) = 2/3
[Multiply both sides to get rid of the denominator.]
x - 4 = 2/3(x+1)
3x - 12 = 2x + 2
x = 14
∴ Numerator = 14 - 5
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here is your answer
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