SOLUTION: Sir/Madam , Please help me to solve my problem . I Will be very grateful for your help. My question is : The denominator of a fraction exceeds the numerator by 2 .If 5 be adde

Click here to see ALL problems on Miscellaneous Word Problems

Question 478536: Sir/Madam ,
Please help me to solve my problem . I Will be very grateful for your help. My question is :
The denominator of a fraction exceeds the numerator by 2 .If 5 be added to the numerator the fraction increases by unity .Then what is the fraction :
As the Answer given is :3/5
So please Sir/Madam provide me the steps for this question..

Thank you,

Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website!
The denominator of a fraction exceeds the numerator by 2 .If 5 be added to the numerator the fraction increases by unity .Then what is the fraction :
Let n = numerator
then from "denominator of a fraction exceeds the numerator by 2" we have
n+2 = denominator
.
We derive our equation from:"If 5 be added to the numerator the fraction increases by unity":
(n+5)/(n+2) = n/(n+2) + 1
multiplying both sides by (n+2)
(n+5) = n + (n+2)
n+5 = 2n + 2
5 = n + 2
3 = n (numerator)
.
Denominator:
n+2 = 3+2 = 5
.
Solution then is numerator/denominator: 3/5