The denominator of a fraction exceeds the numerator by 2.if 5 be added...
Given:
Denominator exceeds numerator by 2.
When 5 is added to numerator, the fraction increases by unity.
To find:
The fraction.
Solution:
Let numerator of the fraction be x.
Then, denominator of the fraction will be x+2.
Condition 1:
When 5 is added to numerator, the fraction increases by unity.
So, (x+5)/(x+2) = (x/(x+2)) + 1
On solving, we get x = 3.
Condition 2:
Denominator exceeds numerator by 2.
So, denominator = numerator + 2 = 3 + 2 = 5.
Final Answer:
The fraction is 3/5.
Explanation:
The given fraction can be represented as x/(x+2).
When 5 is added to numerator, the new fraction becomes (x+5)/(x+2).
As per the given condition, this new fraction is equal to the original fraction (x/(x+2)) plus 1.
On solving this equation, we get the value of numerator as 3.
Using this value, we can find the denominator which is 5.
Therefore, the fraction is 3/5.
The denominator of a fraction exceeds the numerator by 2.if 5 be added...