Răspuns:
c) 26
Explicație pas cu pas:
{ x; y; z } d.p { 3; 4; 6 } <=>
<=> x/3 = y/4 = z/6 = k =>
=> x/3 = k/1 => x • 1 = 3 • k => x = 3k
=> y/4 = k/1 => y • 1 = 4 • k => y = 4k
=> z/6 = k/1 => z • 1 = 6 • k => z = 6k
z - y + x = 10 <=>
<=> 6k - 4k + 3k = 10 <=>
<=> 2k + 3k = 10 <=>
<=> 5k = 10 <=>
<=> k = 10 ÷ 5 <=>
<=> k = 2
x/3 = k/1 => x/3 = 2/1 => x = 6
y/4 = k/1 => y/4 = 2/1 => y = 8
z/6 = k/1 => z/6 = 2/1 => z = 12
x + y + z => 6 + 8 + 12 = 26
,,/'' înseamnă linie de fracție
Succes! :)
--McRobert--
