Can You Guess the Sum?

Algebra Level pending

The sum of three numbers is M M . Two is added to each number and each of the resulting numbers is doubled. What is the sum of the final three numbers?

3 M + 12 3M + 12 4 M + 12 4M + 12 2 M + 12 2M + 12 2 M + 6 2M + 6

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1 solution

Lets call the three numbers A, B and C. Then A + B + C = M, (A+2) + (B+2) + (C+2) = M + 6, finally, 2(A+2) + 2(B+2) + 2(C+2) = 2M + 12.

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