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Question 9

each alphabet represents a different digit, what is the maximum possible value of FLAT?

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The equation reads $$RAT+MAT+VAT=FLAT$$. Matching units and tens digits forces $$T=0$$ and $$A=5$$, and to maximize the thousands digit, $$R+M+V$$ should be as large as possible using distinct remaining digits while avoiding a units-digit conflict. Taking $$R, M, V = 9, 8, 6$$ gives $$R+M+V=23$$, leading to $$FLAT=2450$$.

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