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Stage 8 - Q10 - 5 marks
18396

Challenge: a row of n joined squares uses \(3n+1\) sticks. A row of m joined triangles uses \(2m+1\) sticks. Find the greatest total below 50 sticks that can make either complete design, and give both row lengths.

Hint

Look for totals that leave remainder 1 on division by both 3 and 2.

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