Răspuns: [tex]\large \red{\bf Produsul~ celor ~trei ~numere = 30}[/tex]
Explicație pas cu pas:
Buna !
[tex]\bf a, b, c \in \mathbb{ N^{\star}}[/tex]
[tex]\bf a\neq b\neq c[/tex]
[tex]\bf a+b+c=14[/tex]
[tex]\bf 2a+b+c=24[/tex] scădem cele doua relații
[tex]\bf 2a+b+c-a-b-c=24-14[/tex]
[tex]\red{\boxed{\bf a=10}}[/tex]
[tex]\bf 10 +b+c = 14[/tex]
[tex]\bf b+c = 14-10[/tex]
[tex]\bf \boxed{\bf b+c = 4}[/tex]
[tex]\bf \blue{\boxed{\bf b=1~~si ~~ c= 3}}[/tex]
[tex]\bf ~~~sau ~~[/tex]
[tex]\green{\boxed{\bf b=3~~si ~~ c= 1}}[/tex]
[tex]\bf Produsul~ celor ~trei ~numere: 10 \cdot 1 \cdot 3 =\red{\boxed{\bf 30}}[/tex]
Bafta multa !
