To find the value of $n(A)$, we can use the formula for the union of two sets:

$n(A \cup B) = n(A) + n(B) - n(A \cap B)$

We are given:

• $n(B) = 37$
• $n(A \cap B) = 14$
• $n(A \cup B) = 60$

Substituting the known values into the formula, we have:

$60 = n(A) + 37 - 14$

Simplify:

$60 = n(A) + 23$

Subtract 23 from both sides:

$n(A) = 60 - 23$

$n(A) = 37$

Therefore, the value of $n(A)$ is:

$\boxed{37}$

Would you like further details or have any questions about this solution?

Here are 5 related questions:

1. What is the formula for the intersection of two sets if all other values are known?
2. How do you find the number of elements in the complement of a set?
3. Can this method be used for more than two sets? If so, how does it change?
4. What does $n(A \cup B)$ represent in set theory?
5. How would you find $n(A \setminus B)$ using the given information?

Tip: When solving problems involving sets, drawing a Venn diagram can be very helpful to visualize the relationships and intersections between sets.