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George+++
Euclid


Joined: 20 Nov 2008
Posts: 16

PostPosted: Sun Nov 23, 2008 1:46 pm    Post subject: X,Y Reply with quote

x,y=numere naturale -3x+5y=185 -aflati cemai mare valoare pentru 2x+8y.

problema de olimpiada judeteana la clasa a VI-a.succes


Last edited by George+++ on Tue Nov 25, 2008 8:15 pm; edited 1 time in total
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Marius Dragoi
Thales


Joined: 31 Jan 2008
Posts: 126
Location: Bucharest

PostPosted: Tue Nov 25, 2008 3:38 pm    Post subject: Reply with quote

12x + 20y = 740 \Rightarrow 5(x+4y) + 7x = 740
2(x+4y) maxim \Leftrightarrow x+4y maxim \Leftrightarrow 7x minim \Rightarrow x=0 \Rightarrow x+4y = 148 \Rightarrow 2x+8y=296.
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Last edited by Marius Dragoi on Tue Nov 25, 2008 8:39 pm; edited 1 time in total
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Marcelina Popa
Bernoulli


Joined: 05 Mar 2008
Posts: 208
Location: Tulcea

PostPosted: Tue Nov 25, 2008 7:46 pm    Post subject: Reply with quote

Lipseste o informatie. Ca x si y sunt naturale, presupun.

Marius, n-ai inmultit bine cu 4 ambii mebri: 3\cdot 4 =12, nu 15 Smile
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George+++
Euclid


Joined: 20 Nov 2008
Posts: 16

PostPosted: Tue Nov 25, 2008 7:55 pm    Post subject: Reply with quote

.. Smile
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George+++
Euclid


Joined: 20 Nov 2008
Posts: 16

PostPosted: Tue Mar 03, 2009 6:56 pm    Post subject: Reply with quote

uite una mai explicita:y=185-3x:3
=37-3x:5
=>x=5k
y=37-3k,k_<12
2x+8y=2*5k+8(37-3k)
=10k+296-24k
=296-14k de unde cea mai mare valoare este cand k=0
=>296.
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