The denominator of the fraction is 1 more twice its numerator if 1 is added to numerator and the denominator respectively the ratio of numerator to denominator is 1:2 find the fraction
Answers
Q) The denominator of the fraction is 1 more than twice its neumerator and if 1 is added to neumerator and the denominator respectively, the ratio of neumerator to denominator is 1:2 . Find the fraction .
★ Given Conditions :
- denominator is 1 more than twice of neumerator.
- after adding 1 to both neumerator and denominator , the ratio of neumerator and denominator becomes 1:2
★ To Find :
- The fraction = ?
★ Solution :
- Let the neumerator be n
- and the denominator be d
According to the first condition -
denominator = 2×neumerator + 1
According to the second condition -
( neumerator + 1 ) : ( denominator + 1 ) = 1 : 2
( n + 1 ) : ( d + 1 ) = 1 : 2
As you can see , eq(i) is equal to eq(ii)
so ,
they may have Infinitely many solutions...
_________________________
# Some solution :
Let n = 1
put in eq(i)
so ,
or
Let n = 2
Similarly u can find more solutions ...
Answer:
ANSWER
We have,
Let the fraction
y
x
So, Numerator =y
Denominator=x
Then, According to given question,
y=2x+1
y−2x=1......(1)
So,
According to second condition,
y+1
x+1
=
2
1
⇒2x+2=y+1
⇒2x−y=−1......(2)
Solve from (1) and (2) to, and we get,
x=4andy=9
The fraction is
y
x
=
9
4
.
Step-by-step explanation:
please mark me brainliest