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In the addition shown, each of the letters $$T$$, $$H$$, $$I$$ and $$S$$ represents a non zero digit. What is $$T+H+I+S$$?
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In the addition shown, each of the letters $$T$$, $$H$$, $$I$$ and $$S$$ represents a non zero digit. What is $$T+H+I+S$$?
From the units column, $$S+S$$ must end in $$8$$, so $$S$$ is either $$4$$ or $$9$$. If $$S=4$$, the remaining carry does not give a valid non zero digit, so $$S=9$$ and $$I=5$$. The addition then gives $$TH59+59=2018$$, so $$T=1$$ and $$H=9$$. Hence $$T+H+I+S=1+9+5+9=24$$.
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