Question

fraction becomes 1 by 3 when 1 is subtracted from the numerator and it becomes 1 by 4 when 8 is added to its denominator find the Fraction​

Answer 1

Answer:

5 / 12 is the fraction.

Step-by-step explanation:

Let's assume the Numerator of the fraction to be X and the Denominator to be Y.

Now 1 is subtracted from the Numerator making the fraction ⅓.

Therefore,

X-1 / Y = ⅓

3(X-1) = Y

3X-3 = Y

On transposing, 3X-Y = 3.

2nd Condition is that 8 is added to the Denominator making the fraction ¼.

Therefore,

X /Y+8 = ¼

4X = Y+8

On transposing, 4X-Y = 8.

We now solve the two equations simaltaneously.

We get X = 5 and Y = 12.

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