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Using all the integers from 1 to 10 inclusive (each used exactly once), along with any number of the four arithmetic operations (add, subtract, multiply and divide) and parentheses, construct an eq...
#1: Initial revision
by
will.octagon.gibson
·
2026-03-11T22:31:22Z (6 months ago)
Maximizing the common value of both sides of an equation
Using all the integers from 1 to 10 inclusive (each used exactly once), along with any number of the four arithmetic operations (add, subtract, multiply and divide) and parentheses, construct an equation with the largest (and identical) number on both sides. **Clarifications:** $1+2+3+4+5+6=10 \times (9+8+7)$ is not a valid equation because the value on the left hand side (21) is not equal to the value on the right hand side (240). --- $(2-1) \times (4-3)=(10-9) \times (8-7) \times (6-5)$ is a valid equation because the value on both sides equals $1$. However the common value of $1$ is not the largest that can be achieved. --- You can’t use anything other than what is explicitly allowed. So, for example, you can’t use square roots, concatenation, decimal points, bases other than 10, ... --- Attribution: Erich Friedman @ https://erich-friedman.github.io/mathmagic/0715.html