every row and column contains the same numbers and the same math signs, but they are arranged in a different order each time. can you find the correct order to arrive at the finals totals shown.
only using 4 8 3 5 and * + - to make
31 15 20 21 9 17 11 27 ...but you only can use the symbos and numbers once...please...help...me...:( :( :(
IT just doesn't make sense to me, sorry.
Posting the same question 3 times does not make it any less confusing.
I agree with bobpursley, I also have no idea what you are asking.
To solve this puzzle, you need to arrange the numbers 4, 8, 3, and 5 with the math symbols * (multiplication), + (addition), and - (subtraction) to obtain the given final totals.
Let's break it down step by step:
1. Start by figuring out the potential combinations for the first row to obtain the result 31:
- We have four numbers, so one of them should be a larger number, possibly 8 or 5.
- To reach 31, we need to subtract a smaller number from a larger number. So, let's start by subtracting.
- Since 8 - 3 = 5, we can discard the combination of 8 - 3.
- If we try 5 - 3, we get 2, which is not the desired result.
- Therefore, the combination left is 3 - 8 = -5.
The first row could be: 3 - 8 = -5.
2. Next, let's find the potential combinations for the second row to obtain the result 15:
- We have three numbers left: 4, 8, and 5. The remaining symbol is +.
- We need to add two numbers to get 15, so we can try different combinations.
- Trying 4 + 8 + 5 = 17, which is not the desired result.
- If we try 4 + 5 + 8, we get 17 as well.
- However, if we try 5 + 4 + 8, we get 17 too.
- Finally, if we try 8 + 4 + 5, we get 17 as well.
- Since the question states that every row and column contains the same numbers, any of these combinations would work.
The second row could be: 4 + 8 + 5 = 17 (or any of the other combinations).
3. Now, let's find the potential combinations for the third row to obtain the result 20:
- We have two numbers left: 4 and 8. The only remaining symbol is *.
- We need to multiply two numbers to get 20, so we can try different combinations.
- Trying 4 * 8 = 32, which is not the desired result.
- If we try 8 * 4, we get 32 as well.
- However, the question states that every row and column contains the same numbers, so we need to find a different combination.
- Since we only have two numbers left, it means that the desired combination should be: 4 * 8 = 32. We can discard this row.
4. Finally, let's find the potential combinations for the fourth row to obtain the result 21:
- We only have one number left: 4. The remaining symbol is -.
- We need to subtract a number from another to get 21, so we can try different combinations.
- Trying 4 - 8 = -4, which is not the desired result.
- However, if we try 8 - 4, we get 4, which is not the desired result either.
- So, neither combination works for this row. We can discard this row.
Based on the information above, we can determine the correct order to arrive at the final totals as follows:
3 - 8 = -5
4 + 8 + 5 = 17
Discarded row: 4 * 8 = 32
Discarded row: Not possible.
Therefore, the correct order to obtain the final totals is:
-5
17
Not possible
Not possible
Please note that the answer may vary depending on the combinations you choose for each row since the question does not specify any restrictions.