The ratio of 5 more than a number to 20 less than that number is 8:3. What is the number?

35

Step-by-step explanation:

Let the number  = y ;

  5 more than the number  = y + 5

  20 less than that number  = y  - 20

Ratio  = 8:3;

Solution:

 Ratio of the number:

                      =

Now cross multiply and solve for y;

          3(y+5)  = 8(y-20)

            3y + 15  = 8y - 160

            3y - 8y  = -160 - 15

                -5y  = -175

                    y  = 35

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