Răspuns:
Explicație:
(a ,b ) ip (5 , 4)
b - a = 4
a = ?, b = ?
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(a ,b ) ip (5 , 4)
[tex]\frac{a}{\frac{1}{5}} = \frac{b}{\frac{1}{4}} = k\\\\\frac{a}{\frac{1}{5}} = k -> a = \frac{k}{5} \\\\\frac{b}{\frac{1}{4}} = k -> b = \frac{k}{4} \\\\b - a = 4\\\\\frac{k}{4} - \frac{k}{5} = 4\\\\[/tex]
Aducem la acelasi numitor comun (20)
[tex]\frac{5k}{20} - \frac{4k}{20} = \frac{80}{20} |*20\\\\5k - 4k = 80\\\\k = 80[/tex]
[tex]a = \frac{k}{5} = \frac{80}{5} = 16\\\\b = \frac{k}{4} = \frac{80}{4} = 20[/tex]
