The ratio of 8 less than a number to 28 more than that number is 2 to 5. What is the number?

The ratio of 8 less than a number to 28 more than that number is 2 to 5. What is the number?

Let's call the number "n"

Then, 8 less than n = n-8, and 28 more than n = n + 28

So we have

(n-8) /(n+28) = 2/5

Cross multiply and set both products  equal

5(n-8) = 2(n+28)   Simpifying, we have

5n - 40 = 2n +56    Add 40 to both sides

5n = 2n + 96   Subtract 2n from both sides

3n = 96 Dividing both sides by 3, we get

n = 32

Check this

(32-8) /(32 +28) = 24 / 60  = 2 /5

And we're OK...........