Question 1191182
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The ratio of Tom’s age to Mike’s age is 8:5. 
30 years later, this ratio will be 6:5. How much older is Tom than Mike?
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Today, they are 8x (Tom) and 5x (Mike) years old, where x is the common measure of their ages.


30 years later

    {{{(8x+30)/(5x+30)}}} = {{{6/5}}}.


Cross-multiply, then simplify and find x

    5*(8x+30) = 6*(5x+30)

    40x + 150 = 30x + 180

    40x - 30x = 180 - 150

        10x   =     30

          x   =     30/10 = 3.


Hence, Tom is 8x = 8*3 = 24 yers old;  Mike is 5*3 = 15 years old.


Tom is  24-15 = 9 years older than Mike.    <U>ANSWER</U>
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Solved.