Explanation
Solution
Given Data:
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Available Integers: {1,2,3,4,5,6,7,8,9}
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The value assigned to P is 4.
Step 1: Find the value of T
The problem states that the difference between P and T is 5. This can be expressed as:
Substituting P=4:
This gives us two mathematical possibilities:
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4−T=5⟹T=−1 (Not possible, as integers are from 1 to 9)
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T−4=5⟹T=9 (Valid)
So, T=9.
Step 2: Find the value of N
The problem states that the difference between N and T is 3. This can be expressed as:
Substituting T=9:
Again, we check the possibilities:
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N−9=3⟹N=12 (Not possible, exceeds the range of 1 to 9)
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9−N=3⟹N=6 (Valid)
Final Answer:
The integer assigned to N is 6.
The correct option is 2.