Solve the Equation: 25+?:?=25 with Missing Values

To solve this problem, we need to find the missing values that satisfy the equation $25 + ? : ? = 25$. Let's analyze each operation involved in this expression:

• Addition: The sum of any number and 0 is the original number, i.e., $a + 0 = a$.
• Division: A number divided by 1 remains unchanged, i.e., $a : 1 = a$.

Let’s apply these properties step by step.

• Step 1: Assume the first missing value is 0. This transforms the equation to $25 + 0 : ? = 25$.
• Step 2: Simplifying, we are left with $25 + (0 : ?) = 25$.
• Step 3: The term $0 : ?$ results in 0 for any nonzero divisor. Therefore, we effectively have $25 + 0 = 25$, which is true for any value of the second placeholder as 1 (since $0 : 4 = 0$ also holds).

After analyzing, let's verify the given choices. The choice $0,4$ fits the criteria:

• The first value, 0, ensures the sum does not change $(25 + 0 = 25)$.
• The second value, 4, ensures division results in zero which corresponds with $0$.

Thus, the missing values are indeed correctly filled by $0,4$.

Therefore, the solution to the problem is:

$0,4$