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Mrrafil [7]
2 years ago
5

If twice a number, added to 3 is divided by the number plus 5, the result is three halves. Find the number.

Mathematics
2 answers:
Lynna [10]2 years ago
7 0

Answer:2

Step-by-step explanation:

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

Multiply both sides by 3:

2x + 5 = 9/2

Subtract 5 from both sides:

2x = 9/2 - 5 = 9/2 - 10/2 = 3/2

Divide both sides by :

x = 3/4

larisa86 [58]2 years ago
7 0

Answer:

-1/3

Step-by-step explanation:

A number x is multiplied by 2, then has 3 added to it, then is divided by x+5, and the answer is 3 halves.

Or, as an equation:

\frac{2x + 3}{x + 5}  =  \frac{3}{2}

Let's cross multiply:

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

Expand:

8x + 12 = 2x + 10

Now solve:

6x + 12 = 10

6x = -2

x =  \frac{-1}{3}

So the answer is -1/3

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