Question 1150176
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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


<U>ANSWER</U>.  Kim is younger than 6 years (1,2, 3, 4 or 5 years old).
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Solved.