The letters L, M, N, O, P, Q, R, S, T in their order are substituted by nine integers 1 to 9 in that order. 4 is assigned to P. The difference between P and T is 5. The difference between N and T is 3. What is the integer assigned to N?

Question

Accepted Answer

1. **Assign Known Values**:  
   - From the question, $$ P = 4 $$.

2. **Difference Between $$ P $$ and $$ T $$**:  
   - The difference between $$ P $$ and $$ T $$ is given as 5:  
     $$
     |P - T| = 5.
     $$
   - Since $$ P = 4 $$:  
     $$
     |4 - T| = 5 \implies T = 9 	ext{ (as } T > P 	ext{)}.
     $$

3. **Difference Between $$ N $$ and $$ T $$**:  
   - The difference between $$ N $$ and $$ T $$ is given as 3:  
     $$
     |N - T| = 3.
     $$
   - Substituting $$ T = 9 $$:  
     $$
     |N - 9| = 3 \implies N = 6 	ext{ (as } N < T 	ext{)}.
     $$

4. **Conclusion**:  
   The integer assigned to $$ N $$ is **6**.

Thus, the correct answer is **B. 6**.

Answer

Answer

Answer