1. The problem is to solve the cryptarithm SEND + MORE = MONEY, where each letter represents a unique digit. 2. The goal is to find digits for S, E, N, D, M, O, R, Y such that the sum SEND + MORE equals MONEY. 3. Important rules: - Each letter represents a unique digit from 0 to 9. - The leading letters S and M cannot be zero because they are the first digits of numbers. 4. Write the addition in columns: \begin{array}{cccccc} & S & E & N & D \\ + & M & O & R & E \\ \hline M & O & N & E & Y \end{array} 5. From the leftmost column, since M is the first digit of MONEY and also appears in MORE, M must be 1 (because the sum of two 4-digit numbers can only produce a 5-digit number starting with 1). 6. Using trial and error and logical deduction: - M = 1 - O = 0 - S = 9 - E = 5 - N = 6 - D = 7 - R = 8 - Y = 2 7. Check the sum: SEND = 9567 MORE = 1085 Sum = 9567 + 1085 = 10652 MONEY = 10652 8. The solution satisfies the cryptarithm. Final answer: S=9, E=5, N=6, D=7, M=1, O=0, R=8, Y=2