The daily equation · Medium
July 31, 2026
One shared puzzle. Find every way to make it true.
□ × □ + □ = 65
3 distinct solutions · 3 blanks · Medium
Play this daily puzzleBefore you play
- Each blank takes one digit from 0 to 9. Choices may be repeated.
- Follow the printed brackets and the order of operations. Each division must be exact. Division by zero is never allowed.
- Find all 3 distinct solutions. Reordering terms of the same addition or multiplication counts once. Subtraction, division and bracket structure still matter.
- Play without an account. Progress stays in this browser; the Lobby’s Continue button resumes an unfinished game. Web Hint and Reveal are free.
A way to begin
Use the target and the keypad bounds to narrow the search. If one blank adds or subtracts a small remainder, work out the possible range of the preceding product first.
This equation has 3 blanks and 3 distinct solutions. List your cases systematically and use the green rows to avoid repeating a solved case. Explore this solving method.
Reveal all 3 solutions
One representative of each distinct solution is shown. Other accepted orders of the same addition or multiplication are not repeated.
- 8 × 7 + 9 = 65
- 9 × 7 + 2 = 65
- 8 × 8 + 1 = 65
Check one answer, step by step
8 × 7 + 9 = 65
- 8 × 7 = 56
- 56 + 9 = 65