wu :: forums « wu :: forums - Three positive numbers » Welcome, Guest. Please Login or Register. May 16th, 2024, 4:40am

RIDDLES SITE WRITE MATH! Home Help Search Members Login Register

wu :: forums    riddles    easy (Moderators: Eigenray, william wu, towr, Icarus, ThudnBlunder, SMQ, Grimbal)    Three positive numbers « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: Three positive numbers  (Read 443 times) NickH Senior Riddler     Gender: Posts: 341 Three positive numbers   « on: Apr 5th, 2003, 12:09pm » Quote Modify Three positive real numbers have a sum of 7 and a product of 9.  What is the smallest possible value of any one of the three numbers? IP Logged Nick's Mathematical Puzzles BNC Uberpuzzler     Gender: Posts: 1732 Re: Three positive numbers   « Reply #1 on: Apr 5th, 2003, 1:31pm » Quote Modify 1 ?? IP Logged How about supercalifragilisticexpialidociouspuzzler [Towr, 2007] NickH Senior Riddler     Gender: Posts: 341 Re: Three positive numbers   « Reply #2 on: Apr 5th, 2003, 1:49pm » Quote Modify How did you arrive at that answer...? IP Logged Nick's Mathematical Puzzles cho Guest Re: Three positive numbers   « Reply #3 on: Apr 5th, 2003, 2:05pm » Quote Modify Remove Because one number is at the minimum when the other two numbers are at the maximum, and the highest product will be obtained when they are equal. IP Logged NickH Senior Riddler     Gender: Posts: 341 Re: Three positive numbers   « Reply #4 on: Apr 5th, 2003, 6:20pm » Quote Modify Fine, but why can't the minimum be, say, ½. IP Logged Nick's Mathematical Puzzles BNC Uberpuzzler     Gender: Posts: 1732 Re: Three positive numbers   « Reply #5 on: Apr 5th, 2003, 11:06pm » Quote Modify Assuming (after cho) that we have two equal numbers, we'll get two equations with two variables:   a+2b=7 ; ab2=9   Solving, we get three solutions: {1 3 3}, {4, 1.5, 1.5}, {9, -1, -1}   IP Logged How about supercalifragilisticexpialidociouspuzzler [Towr, 2007] Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------=> easy   - medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

Powered by YaBB 1 Gold - SP 1.4!
Forum software copyright © 2000-2004 Yet another Bulletin Board