Question

If a number added to five is divided by the difference of the number and two, the result is three-fourths. Find the number.

Answer 1

Answer:

x = - 26

Step-by-step explanation:

Let the number be x.

According to the question,

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

Cross multiplying 4 & 3 gives :-

$4(x+5)=3(x-2)$

And solving this eqn. gives :-

$4(x+5)=3(x-2)\\=> 4x+20=3x-6\\=>4x-3x=-20-6\\=>x=-26$

Verification :-

(putting the value of x = -26 )

$\frac{x+5}{x-2} \\\\=>\frac{-26+5}{-26-2} \\\\=> \frac{-21}{-28} \\\\=>\frac{21}{28}$

Reducing  $\frac{21}{28}$  by 7 gives  $\frac{3}{4}$ .