👤

scrie numere pare de forma a5b care au suma cifrelor 14


Răspuns :

[tex]\overline{a5b} ,a\neq 0\\ Numarul\ este\ par\Rightarrow b\in \{0,2,4,6,8\}\\ a+b+5=14\\ a+b=9\\ b=0\Rightarrow a=9\\ b=2\Rightarrow a=7\\ b=4\Rightarrow a=5\\ b=6\Rightarrow a=3\\ b=8\Rightarrow a=1\\ S=\{950,752,554,356,158\}[/tex]
a5b = nr par
a+5+b = 14
ptr b= 0
a+5+0 = 14
a+5 = 14
a = 9
=> 950

ptr b=2
a+5+2 = 14
a = 14-7
a = 7
=>752

ptr b = 4
a+5+4 = 14
a = 14 -9
a = 5
=> 554

ptr b = 6
a+5+6 = 14
a = 14-11
a = 3
=> 356

ptr b = 8
a+5+8 = 14
a = 14 -13
a = 1
=> 158

Numerele de forma a5b cu (a+b+5=14 ) sunt
950;752;554;356;158