SOLUTION: one number is 12 more than another number. If one half of the smaller number equals one third of the larger number, then what is the larger number?

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Hi

 |Multiplying thru by 6 so as all denominators = 1

    3x = 2(x+12)

    3x = 2x + 24

     x = 24, the smaller number.  The larger number is 36.