Question: Which numbers in $A$ are elements of both subsets $B$ and $C$?
$A = \{5, 10, 15, 20, 25, 30, 35\}$
$B = \{10, 15, 20, 25\}$
$C = \{10, 20, 30\}$
The set diagram/math is in the center-left/top area, and the question asks for the numbers in all three sets; position_hint: center.
The number(s) in all three sets is/are \u25A1
(Use a comma to separate answers as needed.)
1. **State the problem:** We need to find the numbers in set $A$ that are elements of both subsets $B$ and $C$.
2. **Recall the definition:** The numbers that are in both $B$ and $C$ are in the intersection $B \cap C$.
3. **Find the intersection $B \cap C$:**
$$B = \{10, 15, 20, 25\}$$
$$C = \{10, 20, 30\}$$
The common elements are $10$ and $20$.
So,
$$B \cap C = \{10, 20\}$$
4. **Check if these elements are in $A$:**
$$A = \{5, 10, 15, 20, 25, 30, 35\}$$
Both $10$ and $20$ are in $A$.
5. **Final answer:** The numbers in $A$ that are elements of both $B$ and $C$ are:
$$\boxed{10, 20}$$