tag:blogger.com,1999:blog-4679715190635795973.post3925466372088648037..comments2023-09-06T08:23:30.799-07:00Comments on y of x: Math Donkeysfakehttp://www.blogger.com/profile/12859709233583742208noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-4679715190635795973.post-11994069092659530772011-05-27T09:11:43.174-07:002011-05-27T09:11:43.174-07:00logical deduction and iteration:
Condition 1, imp...logical deduction and iteration:<br /><br />Condition 1, implies the two donkeys have an odd number of sacks each.<br />Condition 2, implies the talker has two more sacks.<br />So, which two adjacent odd numbers fit the bill?.<br />3 and 1, no<br />5 and 3, no<br />7 and 5, bingovzjphttps://www.blogger.com/profile/09710370520758003753noreply@blogger.comtag:blogger.com,1999:blog-4679715190635795973.post-40343666336785433212009-06-22T13:41:09.131-07:002009-06-22T13:41:09.131-07:00
d1 = donkey 1's sack count.
d2 = donkey 2... <br />d1 = donkey 1's sack count.<br />d2 = donkey 2's sack count.<br /><br />(1) d1+1=2(d2-1) <br />(2) d1-1=d2+1 <br />(3) d1=d2+2 (from (2))<br />(4) d2+3=2d2-2 (from (1) and (3))<br />(5) d2=5 (from 4)<br />(6) d1=7 (from (3) and (5))<br /><br />So, one of the donkeys has 7 sacks and the other has 5.<br /> Tinyc Timhttps://www.blogger.com/profile/01754672611765154678noreply@blogger.comtag:blogger.com,1999:blog-4679715190635795973.post-74013672251817152092009-06-22T11:54:00.805-07:002009-06-22T11:54:00.805-07:00I thought for sure that the second donkey was goin...I thought for sure that the second donkey was going to say, "Holy crap! A talking donkey!"Katehttps://www.blogger.com/profile/14229054922453438248noreply@blogger.comtag:blogger.com,1999:blog-4679715190635795973.post-48948253017025487342009-06-22T11:20:09.406-07:002009-06-22T11:20:09.406-07:00The first donkey has 7 and the other has 5 sacks o...The first donkey has 7 and the other has 5 sacks of potatoes.<br /><br />If y is the number of sacks on the first donkey and x the second then this is true...<br />y+1=(x-1)*2<br />and<br />y-1=x+1<br /><br />that reduces to:<br />y=(2*(x-1))-1<br />and<br />y=x+2<br /><br />We solve for x:<br />x+2=(2*(x-1))-1<br />x=(2*(x-1))-3<br />x=2x-2-3<br />-x=-2-3<br />x=5<br />so, if y=x+2, then y=7Ken Colangelonoreply@blogger.com