Find Code for Common Letter 'E'

• MEANS = {M, E, A, N, S} $\rightarrow$ {7, 5, 8, 2, 1} • RANGE = {R, A, N, G, E} $\rightarrow$ {8, 4, 5, 9, 2} • PRIME = {P, R, I, M, E} $\rightarrow$ {6, 4, 2, 3, 7} Common letter in all three is 'E'. Common digit in all three sets is '2'. Thus, $E = 2$.

Compare MEANS and RANGE

Common letters are {E, A, N} corresponding to digits {2, 5, 8}. Since $E = 2$, {A, N} = {5, 8}.

Determine Code for 'R' and 'G' in RANGE

In RANGE = {R, A, N, G, E} = {8, 4, 5, 9, 2}, remaining letters are {R, G} and remaining digits are {4, 9}. PRIME contains 'R' and has digits {6, 4, 2, 3, 7}. The common digit between {4, 9} and PRIME is 4. Thus, $R = 4$. Therefore, the remaining letter 'G' must be 9.

The code for G is 9.