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Changing the Total

by Serhiy Grabarchuk Jr

Solution Step 0/0

Eleven matchsticks are arranged into two digits: 6 and 3, resulting in three numbers: 6, 3, and 63. Their total is 6 + 3 + 63 = 72.

It is possible to move just one matchstick to a new position in order to end up with other three numbers which produce a different total. All but one total are possible to be reached in that way.

Which total is not achievable?

Explanations

Only one total among those provided is not achievable: 79.

Check 70
Check 73
Check 76
Check 79
Check 105