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This problem trains for: SAT-I, AMC-8, GMAT.

What is the sum of the numbers a, b and c which satisfy the conditions:

equation

and

equation

We compute the expressions for two of the numbers as a function of the third one:

equation
equation

Then, we substitute these expressions in the product:

equation

and we obtain a=15, b=33 and c=9. The sum of these numbers is equal to 57.