Solve the Equation: ? × ? + 67 = 67 Missing Numbers Challenge

Question

Fill in the missing values (?):

?×?+67=67 ?\times?+67=67

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Recognize that the equation ?×?+67=67 ? \times ? + 67 = 67 simplifies to ?×?=0 ? \times ? = 0 .
  • Step 2: Apply the zero-product property, which implies that at least one of the terms multiplying equals zero.
  • Step 3: Check each answer choice to determine which contains zero as one of its elements.

Now, let's work through each step:
Step 1: The problem gives us the equation ?×?+67=67 ? \times ? + 67 = 67 , which simplifies to ?×?=0 ? \times ? = 0 since 67 plus zero equals 67.
Step 2: We apply the zero-product property: If a×b=0 a \times b = 0 , then a=0 a = 0 or b=0 b = 0 .
Step 3: Among the choices given, 0,3 0,3 surely results in 0×3=0 0 \times 3 = 0 . This fulfills the condition of the problem.

Therefore, the values to fill the missing digits in the equation are 0,3 0,3 .

Answer

0,3 0,3