8.
The sum of the denominator and numerator of a fraction is 40. If 1 is added to both the
numerator and the denominator, the fraction becomes 3. Find the fraction.
4
Answers
Answered by
0
Answer:
Step-by-step explanation: Let the numerator be x
Therefore, the denominator = 40 -x
As per the question, x +1/40 -x +1 = 3
x +1/41 -x = 3
x +1 = 123 -3x
x +3x = 123 -1
4x = 122
x = 61/2
Therefore, the numerator = 61/2
So, the denominator = 40 -61/2
= 80/2 - 61/2 [ after taking the LCM]
= 19/2
To check if the answer is correct,
61/2÷19/2 [ I am writing the fraction like this ]
If we add 1 to both of them as per the question, then,
61/2 +1÷ 19/2 +1
= 61/2 +2/2÷ 19/2 +2/2
=63/2÷21/2
=63/2×2/21
=3 [ 2 gets cancelled and 3×21 = 63 ]
Hope you understand
Answered by
3
Answer:
ur answer
- 63
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