Question

Using the digits 1-9 only once fill in the blanks below _ _ ×_=_ _ _=_ _ ×_

Answer 1

To solve this problem, you need to use the digits 1-9 only once to fill in the blanks, while following specific steps.

Step-by-step explanation:

To solve this problem, we need to use the digits 1-9 only once to fill in the blanks. Let's break down the problem step by step:

1. There are three blanks to fill: _ _ × _ = _ _ _ = _ _ × _
2. We know that the digits 1-9 must be used exactly once.
3. Since multiplication is commutative, we can start by filling the blanks for the second multiplication first.
4. Let's take an example: _ _ × _ = _ _
5. We can't have a number greater than 3 in the first blank because the product will be a two-digit number. So, we can fill the first blank with 1 or 2.
6. Now, let's consider the second blank. Since the digits must be used exactly once, we can't use the same digit for both blanks of the second multiplication. So, we will use the remaining digit for the second blank.
7. The second multiplication has given us a two-digit number, which we will multiply with the appropriate first digit to get the three-digit number.
8. Now, we can use the remaining digits to fill in the blanks for the first multiplication.
9. To find the solution, we need to try different combinations of digits until we find a valid solution.

So, in summary, to solve this problem, you need to use the digits 1-9 only once to fill in the blanks, while following the steps mentioned above.