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

Question

Fill in the missing values (?):

25+?:?=25 25+?:?=25

Video Solution

Step-by-Step Solution

To solve this problem, we need to find the missing values that satisfy the equation 25+?:?=25 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 a + 0 = a .
  • Division: A number divided by 1 remains unchanged, i.e., a:1=a 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 25 + 0 : ? = 25 .
  • Step 2: Simplifying, we are left with 25+(0:?)=25 25 + (0 : ?) = 25 .
  • Step 3: The term 0:? 0 : ? results in 0 for any nonzero divisor. Therefore, we effectively have 25+0=25 25 + 0 = 25 , which is true for any value of the second placeholder as 1 (since 0:4=0 0 : 4 = 0 also holds).

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

  • The first value, 0, ensures the sum does not change (25+0=25) (25 + 0 = 25) .
  • The second value, 4, ensures division results in zero which corresponds with 00.

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

Therefore, the solution to the problem is:

0,4 0,4

Answer

0,4 0,4