rounded to the nearest ten i am 780. i am even.the sum of my digits is 17.

776, 778, 780, 782, 784

The digits of which of those numbers add up to 17?

782

Rounded to the nearest ten I am 40. The sum of my digits is 11.

To find the number that is rounded to the nearest ten, even, and has a sum of digits equal to 17, we can start by looking at the range of numbers whose tens digits are 7.

Since the number is rounded to the nearest ten and the tens digit is 7, the number can be anywhere between 775 to 784.

Now, let's examine each number within this range to see which one fits all the given conditions:

1. 775: The sum of its digits is 7 + 7 + 5 = 19, which doesn't match the given sum of 17.

2. 776: The sum of its digits is 7 + 7 + 6 = 20, which doesn't match the given sum of 17.

3. 777: The sum of its digits is 7 + 7 + 7 = 21, which doesn't match the given sum of 17.

4. 778: The sum of its digits is 7 + 7 + 8 = 22, which doesn't match the given sum of 17.

5. 779: The sum of its digits is 7 + 7 + 9 = 23, which doesn't match the given sum of 17.

6. 780: The sum of its digits is 7 + 8 + 0 = 15, which doesn't match the given sum of 17.

7. 781: The sum of its digits is 7 + 8 + 1 = 16, which doesn't match the given sum of 17.

8. 782: The sum of its digits is 7 + 8 + 2 = 17, and it meets all the given conditions.

Therefore, the number that is rounded to the nearest ten, is even, and has a sum of digits equal to 17 is 782.