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

Which of these numbers is correct?

776, 778, 780, 782, 784

782

To determine the number rounded to the nearest ten, we need to look at the units digit of the number.

Since the number is even, the units digit can either be 0, 2, 4, 6, or 8.

To find the sum of the digits, we can start by dividing the number by 10 to separate the units digit from the remaining digits.

780 ÷ 10 = 78 (Ignoring the remainder)

Next, we need to find the units digit by subtracting the tens digit from the original number.

780 - 780 = 0

Since the units digit is 0, the number rounded to the nearest ten is itself (780).

Now let's check if the sum of the digits is 17 in the original number, 780.

7 + 8 + 0 = 15

Since 15 is not equal to 17, we can conclude that 780 does not meet all the given conditions.

So there is no number that is rounded to the nearest ten at 780, is even, and has a sum of digits equal to 17.