In a fraction if 4 is added to to the numerator and 2 is subtracted from the denominator of factor is is 1 more than twice the the numerator find fraction
Answers
Step-by-step explanation:
Given :-
In a fraction if 4 is added to to the numerator and 2 is subtracted from the denominator of fraction is is 1 more than twice the the numerator.
Correction :-
In a fraction if 4 is added to to the numerator and 2 is subtracted from the denominator of fraction is 2 and the denominator is 1 more than twice the the numerator.
To find :-
Find the fraction ?
Solution :-
Let the numerator in a fraction be X
Let the denominator in the fraction be Y
Given that
Denominator = 2×Numerator +1
=> Y = 2X+1 --------(1)
Then, the fraction = X/(2X+1)
On adding 4 to the numerator then the numerator becomes (X+4)
On subtracting 2 from the denominator then the denominator becomes (Y-2)
=> 2X+1-2
=> 2X-1
Then , the new fraction = (X+4)/(2X-1)
According to the given problem
In a fraction if 4 is added to to the numerator and 2 is subtracted from the denominator of fraction is 2 .
=> (X+4)/(2X-1) = 2
=> X+4 = 2(2X-1)
=> X+4 = 4X-2
=> 4X-X = 4+2
=> 3X = 6
=> X = 6/3
=> X = 2
=> Numerator = 2
On substituting the value of X in (1) then
=> Y = 2(2)+1
=> Y = 4+1
=> Y = 5
=> Denominator = 5
The Fraction = 2/5
Answer:-
The required fraction for the given problem is 2/5
Check:-
The Fraction = 2/5
=> 2/(2×2+1)
=> Denominator = 2×Numerator+1
In a fraction if 4 is added to to the numerator and 2 is subtracted from the denominator
=> (2+4)/(5-2)
=> 6/3
=> 2
Verified the given relations in the given problem.