The sum of the numerator and the denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator
are increded by 3, then they are in the ratio 2:3. Deturmine the fraction.
Answers
Step-by-step explanation:
_______________________________
- The sum of the numerator and the denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator
- are increded by 3, then they are in the ratio 2:3.
_______________________________
- The sum of the numerator and the denominator of a fraction is 4 more than twice the numerator
- the numerator and denominator are increded by 3,
- they are in the ratio 2:3. Deturmine the fraction.
_______________________________
- Deturmine the fraction.
Let the numerator be x and denominator be
multiplying each term by 2,
Also,
Subtracting (2) from (3)
→ x = 5 and by putting this in (1)
we can get
Hence,
the fraction is
Question:
The sum of the numerator and the denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator
are increded by 3, then they are in the ratio 2:3. Deturmine the fraction.
Answer:
The given fraction will be
Solution:
Let n be the numerator and d be the denominator.
Given,
The sum of the given n and d is equal to twice the numerator plus 4, i.e.
From given, the numerator n and the denominator d must be increased by 3 to get the ratio 2:3
From equations (i) and (ii), we get,
Solving (i) and (ii) we get,
∴ The given fraction is