Math, asked by spsubhrajitjena1234, 6 months ago

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 tanweerareebah
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 sak6927
3

Answer:

ur answer

  1. 63

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