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Checkers, the smartest dog in the world, was doodling in his math diary and come

ID: 2986107 • Letter: C

Question

Checkers, the smartest dog in the world, was doodling in his math diary and come up with three equations:

A-B=C
D/E=F
G+H=I

He was about to write a fourth equation using multiplication when an interesting thought occurred to him. Instead of using a new set of numbers (J, K, L) for his fourth equation, he would use the answers of the three existing equations:

C*F=I

Now the only question in his mind was, "Can I replace the letters A through I with the digits 1 through 9 in such a way that all four of my equations are correct?"

Explanation / Answer

Without too much thought or fanfare, and realizing that slight variations could occur, Checkers wrote the four equations using the digits 1 through 9:

9-5=4
6/3=2
1+7=8
4*2=8

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