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APMOPS 2001 Question 24

APMOPS · APMOPS 2001

Question 24

In the following columns, A, B, C and X are whole numbers. Find the value of X. Each bottom entry is the sum of the entries above it: $A+3B+C=38$, $2A+2B+C=36$, $3A+B+C=34$, $A+B+3C=28$, and $A+B+C=X$.

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