Discussion
What is the sum of the missing digits in the subtraction problem below?
5 _ _ _ _
- 48 _ 89
----------------
1111
Answer: D
The sum cannot be determined.
Write the subtraction as an addition: the top number is 48a89 + 1111, where a is the missing digit in the subtrahend.
\[ 48a89 + 1111 = 49200 + 100a \]
The top number must begin with 5, so a = 8 or 9. With a = 8 the top is 50000 and the missing digits 0, 0, 0, 0 and 8 sum to 8. With a = 9 the top is 50100 and the missing digits 0, 1, 0, 0 and 9 sum to 10.
Both fit, giving two different sums, 8 and 10, so neither option alone can be the answer; 11 fits neither case.
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