if three times a number added to 1 is divided by the number plus 8, the result is four thirds. Find the number

Question

if three times a number added to 1 is divided by the number plus 8, the result is four thirds. Find the number 

Answer 1

Let's call the unknown number x. Now we can make the words into an equation.

 

"three times a number added to 1" becomes 3 * x + 1

"the number plus 8" becomes x + 8

Put it all together to get:

 

(3 * x + 1) / (x + 8) = 4 / 3

 

Now, solve for x:

 

3x + 1 = 4/3 * (x + 8)

3 * (3x + 1) = 4 * (x + 8)

9x + 3 = 4x + 32

5x = 29

x = 29 / 5 = 5.8

 

One thing to be aware of is that I assumed that "three times a number added to 1" means "three times a number, added to 1." It could be interpreted as "three times (a number added to 1)," which would lead to a different result.