Question

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

The number is…..

Answer 1

-1/3

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:

`(2x + 3)/(x + 5) = (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 = (-1)/(3)`

So the answer is -1/3

Answer 2

Answer:2

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