SOLUTION: Bob is 15 years old. When 5 is subtracted from Jon's age and 1/5 of the difference is taken, the result is equal to Bob's age. How old is Jon?

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Question 1150563: Bob is 15 years old. When 5 is subtracted from Jon's age and 1/5 of the difference is taken, the result is equal to Bob's age. How old is Jon?
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the Jon's age.


Then from the problem's description, you have this equation


    %28x-5%29%2F5 = 15.


Solve it.  Your first step is to multiply both sides by 5.


    x - 5 = 5*15 = 75

     x           = 75 + 5 = 80.    ANSWER


ANSWER.  Jon is 80 years old.