Question

In the addition problem​ below, some digits are​ missing, as indicated by the blanks. If the problem is done​ correctly, what is the sum of the missing​ digits?

_ 3 7
8 _ 6
+ 1 7 _
__________
_ 5 2 9

Answer 1

Expert Verified Answer

Explanation:

We can solve this problem by starting from the rightmost column and working our way left. The units column is 9. This means that the sum of the missing digit in the units column of the first and second numbers, and the units digit of the third number must equal 9. The only combination of digits that satisfies this is 6 + 3 + 9 = 18, with a units digit of 8.

The missing digit in the tens column of the second number is then 8 - 6 = 2.

Next, the sum of the missing digit in the tens column of the first number and the tens digit of the third number must equal 5. The only combination of digits that satisfies this is 3 + 1 + 7 = 11, with a units digit of 1.

Therefore, the missing digits are 2, 3, and 7, and their sum is 2 + 3 + 7 = 12.