Magic Sum Solver — Step by Step Row and Column Sum Solution

Magic grid puzzles Solver: rules, how to use it, tips

Place each number once so every row and column hits its target — by adding, subtracting, multiplying or dividing.

Magic Sum: place every number from 1 to N exactly once. Each row and column must add up to the target shown at its edge.
Magic Difference: start from the row's (or column's) anchor cell and subtract the others in turn — the result must match the target. Negative targets are optional.
Magic Product: the numbers in each row and column multiply to the target.
Magic Division: divide sequentially from the anchor cell; decimal targets are optional for a harder game.
Magic Mixed: rows use one operation and columns another — ten combinations in all.

① Build: choose the grid shape, enter row and column targets in the blue cells and any known values.
② Check, then ③ Solve — every step explained.

Biggest and smallest first. The largest numbers have the fewest places they can go without overshooting a target.
Total check (Sum). All the row targets together add up to 1+2+…+N, and so do the column targets — a quick check on any guess.
Think in factors (Product). Split each target into prime factors; a row target containing 7 needs the 7.
Anchor first (Difference and Division). The anchor is the starting value, so it is usually the largest number in its line.

The full guide, with a worked example and common mistakes: How to play Magic grid puzzles.

What is the anchor cell?

In Magic Difference and Magic Division, the first cell of a row or column. You start from it and subtract or divide the others in turn.

Is there a solver?

Yes, for Magic Sum: the Magic Sum Solver explains every step.

Which one should I start with?

Magic Sum is the gentlest. Product builds times-table fluency; Mixed is the hardest.