SOLUTION: Denominator of a fraction is 2 more than the numerator. If the sum of the fraction and it's denominator is 28\5 .find the fraction.

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Denominator of a fraction is 2 more than the numerator. If the sum of the fraction and it's denominator is 28\5 .find the fraction.       Log On


   

Question 1109044: Denominator of a fraction is 2 more than the numerator. If the sum of the fraction and it's denominator is 28\5 .find the fraction.

Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
n%2F%28n%2B2%29%2B%28n%2B2%29=28%2F5

%285%28n%2B2%29%29%28n%2F%28n%2B2%29%2B%28n%2B2%29%29=28%28n%2B2%29

5n%2B5%28n%2B2%29%5E2=28%28n%2B2%29

5n%2B5%28n%5E2%2B4n%2B4%29=28n%2B56

5n%5E2%2B20n%2B20=23n%2B56

5n%5E2-3n-36=0

%285n%2B12%29%28n-3%29=0
One good choice is n=3 and the fraction was highlight%283%2F5%29.
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You can also check on 5n+12=0, solve for n, and find if this value also works for the original description; according to the original equation.