The letters L, M, N, O, P, Q, R, S and T in their order are substituted by nine ( ) integers 1 to 9 but not in

Question

The letters L, M, N, O, P, Q, R, S and T in their order are substituted by nine ( ) integers 1 to 9 but not 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?

Accepted Answer

Here's a brief explanation:

1.  From the first statement, "4 is assigned to P", we know P = 4.

2.  From the second statement, "The difference between P and T is 5", we have |P - T| = 5.
    Substitute P = 4: |4 - T| = 5.
    This means either (4 - T) = 5 or (4 - T) = -5.
    If 4 - T = 5, then T = 4 - 5 = -1 (Not possible, as integers are 1 to 9).
    If 4 - T = -5, then T = 4 + 5 = 9 (Possible).
    So, T = 9.

3.  From the third statement, "The difference between N and T is 3", we have |N - T| = 3.
    Substitute T = 9: |N - 9| = 3.
    This means either (N - 9) = 3 or (N - 9) = -3.
    If N - 9 = 3, then N = 9 + 3 = 12 (Not possible, as integers are 1 to 9).
    If N - 9 = -3, then N = 9 - 3 = 6 (Possible).
    So, N = 6.

Therefore, the integer assigned to N is 6.

The final answer is D) 6.

Answer

7

Answer

5

Answer

4

Answer

6

The letters L, M, N, O, P, Q, R, S and T in their order are substituted by nine ( ) integers 1 to 9 but not 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?

Explanation

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