antonio is thinking of four number from 1 through 9 with a sum of 18. find the number
3,4,5,6
2,3,6,7
2,4,5,7
1,4,5,8
1,2,7,8
1,3,6,8
1,4,5,8
(4,4,5,5)?
The real question is, Is this calculus?
To find the numbers Antonio is thinking of, we can use a simple process of trial and error.
Since the sum of the four numbers is 18, we need to find four numbers from 1 through 9 that add up to 18. Here's one way to approach it:
1. Start by assigning the number 9 to one of the four numbers Antonio is thinking of. This is because 9 is the biggest number from 1 through 9, and using it as one of the four numbers maximizes the sum.
So, we have: Number 1 = 9
2. Now subtract 9 from 18 to find the remaining sum we need to achieve: 18 - 9 = 9.
3. We still need three more numbers that sum up to 9. Let's try using the next biggest number, 8, as the second number Antonio is thinking of. In this case, we subtract 8 from our remaining sum: 9 - 8 = 1.
So, we have: Number 1 = 9, Number 2 = 8.
4. Continuing in this manner, let's try using the next biggest number, 7, as the third number. Subtract 7 from our remaining sum: 1 - 7 = -6.
Since the result is negative, it means that using 7 as the third number would make our sum go below 0, which is not possible. Therefore, we need to try a smaller number.
5. Let's backtrack and try using 6 as the third number. Subtracting 6 from our remaining sum: 1 - 6 = -5.
Again, the result is negative, so we need to try a smaller number.
6. Now, let's try using 5 as the third number. Subtracting 5 from our remaining sum: 1 - 5 = -4.
Once again, the result is negative, so we need to use an even smaller number.
7. Let's try using 4 as the third number. Subtracting 4 from our remaining sum: 1 - 4 = -3.
The result is still negative, so we need to try an even smaller number.
8. Finally, let's try using 3 as the third number. Subtracting 3 from our remaining sum: 1 - 3 = -2.
Once again, the result is negative, so we need to try a smaller number.
9. Lastly, let's try using 2 as the third number. Subtracting 2 from our remaining sum: 1 - 2 = -1.
The result is still negative, so we need to try an even smaller number.
10. We only have one number left, which is 1. Subtracting 1 from our remaining sum: 1 - 1 = 0.
This time, the result is zero, which means we have successfully found four numbers that add up to 18.
In conclusion, the four numbers Antonio is thinking of are:
Number 1 = 9
Number 2 = 8
Number 3 = 1
Number 4 = 0