Age Comparison Puzzle: Finding the Youngest

This problem requires us to determine the youngest individual based on a series of comparative statements about their ages.

Understanding the Age Relationships

Let's break down each statement and represent the age relationship. We can use the symbol '$>$' to denote 'is elder than'.

• Statement 1: P is elder than Q.
  This means $P > Q$.
• Statement 2: R is elder than Q but younger than P.
  This translates to $P > R$ and $R > Q$. Combining these gives us $P > R > Q$.
• Statement 3: S is elder than P but younger than T.
  This means $T > S$ and $S > P$. Combining these gives us $T > S > P$.

Combining the Relationships

Now, let's combine all the established inequalities to find the complete age order:

• From Statement 1 and 2, we have: $P > R > Q$.
• From Statement 3, we have: $T > S > P$.
• Combining these two sets of relationships ($T > S > P$ and $P > R > Q$), we get the complete order from eldest to youngest:
  $T > S > P > R > Q$

Visualizing the Age Order

We can visualize this order using a table:

Identifying the Youngest Person

Based on the combined age order $T > S > P > R > Q$, the person at the end of the sequence, representing the lowest age, is Q.

Therefore, Q is the youngest.