The Second Addition

Determine the value of each of the ten letters, then write the two additions in digits.

Materials: Pencil, gum and gridded paper; no commercial game required.

Rules you need

Each letter A to J represents a number from 0 to 9. Two different letters always represent different numbers.
The ten digits are therefore used exactly once in the substitution; they may reappear several times in the numbers by repetition of the letters.
No number starts with zero. Both additions use exactly the same substitution. The notation is ordinary decimal.

The puzzle

The two additions are simultaneously true. The letter names do not bear any value index.

Coordinates: lines from top to bottom, columns from left to right.
L / C	1	2	3	4
1	Addition	First term	Second term	Result
2	1	DBBG	GGJE	CGDF
3	2	GCIF	FHGC	DIIAG

Why this level?

Ten letters and two coupled additions require a combination of retention, injectivity and transport of constraints between equations. A first correct equation leaves several assignments: resolution requires a table of deductions and a systematic exploration, not a simple operation to complete.

Your workspace

Write down your assumptions separately from deductions you have proved.

Notes for SOLO-016

View the solution to SOLO-016 →