Question

in a fraction to time of the numerator is 4 more than the denominator if 5 is added to the numerator and it to the denominator the new fraction is 4 /3 find the original fraction​

Answer 1

Answer:

Let the numerator be x.

Then the denominator will be 2x - 4.

Therefore the fraction will be x/2x - 4    ---------- (1)

Given 5 is added to the numerator and to the denominator and fraction = 4/3.

 (x+5)/(2x - 4 + 5) = 4/3

(x+5)/(2x+1) = 4/3

3x + 15 = 8x + 4

5x = 11

x = 11/5

Substitute x in(1), we get New fraction = 11/5/2(11/5) - 2.

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Answer 2

Let the numerator be x.

Then the denominator will be 2x-4.

Therefore the fraction will be $\frac{ x}{2x - 4}$    ---------- (1)

Given 5 is added to the numerator and to the denominator and fraction 4/3.

 $\frac{(x+5)}{(2x - 4 + 5)}$ =$\frac{4}{3}$

$\frac{(x+5)}{(2x+1)}$ = $\frac{4}{3}$

3(x+5) = 4(2x+1)

3x + 15 = 8x + 4

15 - 4 = 8x - 3x

5x = 11

x = $\frac{11}{5}$

Substitute x in(1), we get New fraction = $\frac{11/5}{2(11/5)-4}$

                                                               =$\frac{11}{7}$