The numerator of a fraction is 2 less than the denominator. If 3 is added to both the numerator and the denominator, the fraction becomes 3/4. Find the fraction.
Answers
Answered by
89
Given
The numerator of a fraction is 2 less than the denominator. If 3 is added to both the numerator and the denominator, the fraction becomes 3/4.
To find
Find the fraction
Solution
✞ Let the denominator be x and numerator be (x - 2)
According to the given condition
✒Numerator of a fraction is 2 less than the denominator. If 3 is added to both the numerator and the denominator then fraction becomes 3/4
➨ x - 2+3/x+3 = 3/4
➨ x + 1/x + 3 = 3/4
➨ 4(x + 1) = 3(x + 3)
➨ 4x + 4 = 3x + 9
➨ 4x - 3x = 9 - 4
∴ x = 5
Hence,
Answered by
37
Given :-
- Numerator of a fraction is 2 less than the denominator.
- If 3 is added to both numerator and denominator, fraction becomes 3/4
To Find :-
- The fraction
Solution :-
Let the denominator be 'x'
then,
Numerator = ( x - 2)
Now,
According to question :-
If 3 is added to both then, we get 3/4
Hence,
x = 5
So,
Numerator = ( x - 2) = ( 5 - 2) = 3
Denominator = x = 5
Fraction = Numerator / Denominator = 3/5
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