tag:blogger.com,1999:blog-3802979373213475425.post8575880274116369129..comments2024-03-17T20:25:54.267+05:30Comments on Critical Thinking Puzzles: Age problemAnonymoushttp://www.blogger.com/profile/05634752405801576739noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-3802979373213475425.post-6448008880859778702012-03-18T00:46:37.417+05:302012-03-18T00:46:37.417+05:305 & 3 is the right answer.
18 & 10 does ...5 & 3 is the right answer. <br /><br />18 & 10 does not satisfy the equation<br /><br />x = 5 (y-(x-y))Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3802979373213475425.post-87902656962744500632011-12-16T22:17:55.373+05:302011-12-16T22:17:55.373+05:30Your 74 wow.Your 74 wow.Becahttps://www.blogger.com/profile/16406719985824070270noreply@blogger.comtag:blogger.com,1999:blog-3802979373213475425.post-40617357587326323552011-10-27T20:56:34.462+05:302011-10-27T20:56:34.462+05:30I am 5 times as old as you were when I was as old ...I am 5 times as old as you were when I was as old as you are.<br /><br />age is i=5X, u=X<br /><br />i am five times as old as u.I=5UAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-3802979373213475425.post-47495736033769262362008-12-11T21:23:00.000+05:302008-12-11T21:23:00.000+05:30"I" am older than "you" so I &..."I" am older than "you" so I > U.<BR/><BR/>When I was as old as you are now, I - T = U; where T is the time since then. I am now 5 times as old as you were back then so I = 5 * (U - T).<BR/><BR/>From I - T = U add T to both sides<BR/>=> I = U + T. Subst for I in 2nd equation<BR/>=> U + T = 5 * (U - T)<BR/>=> U + T = 5U - 5T add 5T and subtract U from both sides<BR/>=> 6T = 4U<BR/><BR/>There are an infinite number of values which satisfy these equations, but assuming that the ages and time interval are measured in whole years, the minimum that U can be is 3, with T = 2, and I = U + T = 5.<BR/><BR/>So I am now 5 and you are 3. 2 years ago I was the age you are now (3) and you were 1. I am now 5 times that age.<BR/><BR/>These values also work:<BR/>U__I__T<BR/> 6 10 4<BR/> 9 15 6<BR/>12 20 8<BR/>etcAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-3802979373213475425.post-53410331667190259232008-12-10T17:28:00.000+05:302008-12-10T17:28:00.000+05:3018 & 1018 & 10Anonymoushttps://www.blogger.com/profile/12274170990159733931noreply@blogger.com