Answer:
x = - 26
Step-by-step explanation:
Let the number be x.
According to the question,
[tex]\frac{x+5}{x-2} = \frac{3}{4}\\[/tex]
Cross multiplying 4 & 3 gives :-
[tex]4(x+5)=3(x-2)[/tex]
And solving this eqn. gives :-
[tex]4(x+5)=3(x-2)\\=> 4x+20=3x-6\\=>4x-3x=-20-6\\=>x=-26[/tex]
Verification :-
(putting the value of x = -26 )
[tex]\frac{x+5}{x-2} \\\\=>\frac{-26+5}{-26-2} \\\\=> \frac{-21}{-28} \\\\=>\frac{21}{28}[/tex]
Reducing [tex]\frac{21}{28}[/tex] by 7 gives [tex]\frac{3}{4}[/tex] .
