Question

The denominator of a fraction exceeds the numerator by 5. If 3 be added to both, the fraction becomes 3/4. Find the fraction.
a) 12/17
b) 12/15
c) 12/13
d) 12/11
NO SAMP...
ONLY CORRECT ANSWER...​

Answer 1

Answer:

Let The numerator be x

Denominator= x+5

and also

if 3 is added to both , result is 3/4

Therefore the values are

$\frac{x + 3}{x + 5 + 3} = \frac{x + 3}{x + 8} \\ \frac{x + 3}{x + 8} = \frac{3}{4} \\ 4x + 12 = 3x + 24 \\ 4x = 3x + 12 \\ x = 12$

Therefore the fraction is

$\frac{12}{12 + 5} \\ = \frac{12}{17}$

Therefore Option A) is the correct answer

Answer 2

$\huge\sf\fbox\purple{ ♡ Solution ♡ }$

★ Explanation ★

Option [ A ] 12/17

Let the numerator be X and the denominator be X+5, our fraction becomes X/(X+5)

Add 3 to both, the fraction is now:

(X+3) / (X+8)

We know the fraction is equal to 3/4

So (X+3)/(x+8)=3/4

Multiply both sides by the denominators and you get 4(X+3)=3(X+8)

Now multiply out the brackets and solve for X. Then substitute the value of X into the original fraction.

That's as much of your homework as I'm going to do :)