If three times a number added to 4 is divided by the number plus 9​, the result is five halves. Find the number.

Answer 1

We need to translate the words to an equations and solve

let x = the number

three times a number added to 4 is divided by the number plus 9 the result is five halves

(3x + 4) / (x + 9) = 5/2

Re-written in more simpler to read form, we have a proportion

3x + 4 = 5

--------- ----

x+9 2

We can then cross-multiply:means and extremes of the proportion:

2 * (3x + 4) = 5 * (x + 9)

6x + 8 = 5x + 45

x = 37