SOLUTION: josh is 6 years older than 4 times Kim's age. The sum of their ages is less than 31. what is the oldest kim could be? show all work.

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Question 1150176: josh is 6 years older than 4 times Kim's age. The sum of their ages is less than 31. what is the oldest kim could be? show all work.

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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Let Kim's age be x.


Then Josh's age is (4x+6)


The total is


    x + (4x+1) < 31.


Simplify and solve inequality for x


    5x + 1 < 31

    5x     < 31 - 1 = 30

     x     < 30/5 = 6


ANSWER.  Kim is younger than 6 years (1,2, 3, 4 or 5 years old).

Solved.