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netineya [11]
3 years ago
8

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

Mathematics
1 answer:
alexandr1967 [171]3 years ago
5 0

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} .

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