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Printsmc
prealgebra senior
Problem
The addition below is incorrect. The display can be made correct by changing one digit , wherever it occurs, to another digit . Find the sum of and .
(A)
(B)
(C)
(D)
Solution
If we change , the units column would be incorrect. If we change , then the leading in the sum would be incorrect. However, looking at the in the hundred-thousands column, it would be possible to change the to either a (no carry) or a (carry) to create a correct statement. Changing the to a would give on top, which equals . This does not match up to the bottom. Changing the to a gives on top, which has a sum of . This is the number on the bottom if the s were changed to s. Thus and . so
Final answer
C