Q8. Find the value of each of the letters: $$ \begin{array}{l}\text { SEN DOR } \ \qquad \text { MONE Y }\end{array} $$

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1. We write the puzzle as an addition problem with each letter representing a distinct digit:
   $$
   \begin{array}{r}
   \text{S E N D} \
   +\text{M O R E} \
   \hline
   \text{M O N E Y}
   \end{array}
   $$

2. Since the sum is a five‐digit number and the addends are four digits each, the leftmost digit $$ M $$ in the result must be $$ 1 $$.

3. Next, consider the column corresponding to the thousands. Because there is a carry from the hundreds column, we have
   $$
   S + M \ (\text{plus any carry}) \geq 10.
   $$
   Given that $$ M=1 $$, the largest possible digit for $$ S $$ to satisfy the sum is $$ 9 $$.

4. Using systematic trial (or known methods for cryptarithmetic puzzles), one finds the unique solution:
   $$
   S = 9,\quad E = 5,\quad N = 6,\quad D = 7,\quad M = 1,\quad O = 0,\quad R = 8,\quad Y = 2.
   $$

5. To verify, substitute the digits into the addition:
   $$
   \begin{array}{rrrr}
     & 9 & 5 & 6 & 7 \
   + & 1 & 0 & 8 & 5 \
   \hline
     1 & 0 & 6 & 5 & 2
   \end{array}
   $$
   Evaluating:
   $$
   9567 + 1085 = 10652,
   $$
   which confirms the solution.

The final values for the letters are:
$$
S = 9,\quad E = 5,\quad N = 6,\quad D = 7,\quad M = 1,\quad O = 0,\quad R = 8,\quad Y = 2.
$$
The values of the letters are: - S = 9 - E = 5 - N = 6 - D = 7 - M = 1 - O = 0 - R = 8 - Y = 2

Q8. Find the value of each of the letters:

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