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Question 1

If $$4921 \times D = ABBBD$$, then the sum of the digits of $$ABBBD \times D$$ is

Solution

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Testing digits for $$D$$, only $$D=7$$ gives a product of the required form: $$4921 \times 7 = 34447$$, matching the pattern $$ABBBD$$ with $$A=3$$, $$B=4$$, $$D=7$$. Then $$34447 \times 7 = 241129$$, whose digits sum to $$2+4+1+1+2+9=19$$.

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