Nine individuals P, Q, R, S, T, U, V, W, and X belong to three different states: Assam, Manipur, and Tripura. Each state has at least two and at most ...
Question
Nine individuals P, Q, R, S, T, U, V, W, and X belong to three different states: Assam, Manipur, and Tripura. Each state has at least two and at most four persons. The following conditions apply:
- If a person A and the one who is 12 years old belong to the same state, then A is not 12 years old.
- W and the person aged 51 belong to the same state.
- Only Q and the person aged 18 belong to the same state.
- P and V belong to different states.
- W is 7 years younger than V.
- S is twice as old as Q.
- P and S belong to different states.
- V is 61 years old, and the person aged 64 belongs to the same state as V.
- S does not belong to Assam or Tripura.
- The person aged 35 belongs to Tripura.
- No one's age is less than 18 or more than 68.
- T and the person aged 64 belong to the same state.
- W does not belong to Tripura.
- U and the person aged 29 belong to the same state.
- P does not belong to Assam.
- R is 29 years old and is 3 years younger than Q.
- X is the youngest.
- P is 2 years older than U.
- P's age is not a multiple of 5.
Based on the above, what is the sum of the ages of T, P, and W?