Unit 6 · Algebra
Letter Code — NAN=36, NUN=18, What Is UNA?
Lesson 12 of 12
About this lesson
Each letter = a different whole number > 1. NAN = N²A = 36; NUN = N²U = 18. Try N=3: U=2, A=4. UNA = 2×3×4 = 24. The elegant insight: dividing the two equations gives A/U = 2, then substituting back fixes all values uniquely.
Chapters
Question
In a code, each letter is represented by a different whole number greater than 1.
Words are replaced by the product of their letters.
For example: If M = 5 and E = 10 then ME = 5 × 10 = 50
If NAN = 36 and NUN = 18, what is the value of UNA?
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