The denominator of a fraction is one more than twice its numerator if the numerator and denominator are both increased by 5 it will become 3/5 find the original fraction
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- The denominator of a fraction is one more than twice its numerator.
- If both the numerator and the denominator increases by 5, the fraction will become .
- The original fraction (the original values of numerator and denominator).
Let the numerator be ''.
According to the question,
- The original fraction will be
- If both the numerator and the denominator increases by 5, we can form an equation,
Now, solving the equation gives the value of .
Substitute 7 in places of in the equation formed.
Hence, the value of is correct.
Finally, by putting the value of in the expression of original fraction gives the required answer.
- Therefore, the original fraction is
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Anonymous:
Awesome Answer !
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Correct Question-:
- The denominator of a fraction is one more than twice its numerator if the numerator and denominator are both increased by 5 it will become 3/5 . Find the original fraction .
AnswEr-:
Explanation -:
Solution-:
- Let the numerator be x .
Then ,
- The denominator of a fraction is one more than twice its numerator.
Now ,
- The Denominator = 2x + 1
Then ,
- The original fraction = x / 2x + 1
Then ,
- x + 5 / 2x + 1 + 5 = 3/5
Now , Solving for the Value of X .
- _______________[ Cross ✝️ Multiplication]
- __________[ - Sign will be eliminated from both side ]
Therefore ,
Now ,
- Numerator = x = 7
- Denominator = 2x + 1 = 7×2 + 1 = 14 + 1= 15
Hence ,
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♤ Verification ♤
- The original fraction = x / 2x + 1
Then ,
- x + 5 / 2x + 1 + 5 = 3/5
Now ,
By Substituting Value -:
- [ 12 /20 is devided by 4 ]
Therefore,
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