Integers-1-2-3-n-where-n-gt-2-are-written-on-a-board-Two-numbers-m-k-such-that-1-lt-m-lt-n-1-lt-k-lt-n-are-removed-and-the-average-of-the-remaining-numbers-is-found-to-be-17-W Tinku Tara June 4, 2023 Arithmetic 0 Comments FacebookTweetPin Question Number 20693 by Tinkutara last updated on 31/Aug/17 Integers1,2,3,….,n,wheren>2,arewrittenonaboard.Twonumbersm,ksuchthat1<m<n,1<k<nareremovedandtheaverageoftheremainingnumbersisfoundtobe17.Whatisthemaximumsumofthetworemovednumbers? Answered by ajfour last updated on 31/Aug/17 (m+k)maximum=51n(n+1)2−(m+k)=17(n−2)⇒m+k=n(n+1)2−17(n−2)⩽2n−2firstletusseen22+n2−17n+34−2n+2⩽0⇒n2−37n+72⩽0(n−372)2⩽(372)2−72∣n−372∣⩽1369−2884∣n−372∣⩽270.25(≈16.48)⇒n−18.5⩽16.48orn=34m+k=n(n+1)2−17(n−2)=17×35−17×32=51. Commented by Tinkutara last updated on 01/Sep/17 ThankyouverymuchSir! Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: 0-1-e-x-1-dx-Next Next post: lim-n-k-1-n-n-2-k- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.