An algebra problem by Anish Roy

Algebra Level 3

Before Rick can open up his gym locker, he must remember the combination. Two of the numbers of the three-term sequence are $$17$$ and $$24,$$ but he has forgotten the third, and does not know the order of the numbers. There are $$40$$ possibilities for the third number(from $$1-40$$). At ten second per try, at most how long(in minutes) will it take him to exhaust all possibilities?

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