a- numarul mai mare
b- numarul mai mic
[tex] \left \{ {{a-b=50| [tex] \frac{1}{4} [/tex]} \atop { \frac{1}{4}a+ \frac{1}{2}b=29|*(-1) }} \right. [/tex]
[tex] \left \{ {{ \frac{1}{4}a- \frac{1}{4}b= \frac{50}{4} } \atop {- \frac{1}{4}a- \frac{1}{2}b=-29 }} \right. [/tex]
-3b=-66=> b=22
[tex] \left \{ {{a-b=50| \frac{1}{2} } \atop { \frac{1}{4}a+ \frac{1}{2}b=29| *(-1) }} \right.
\left \{ { \frac{1}{2}a- \frac{1}{2}b=25 } \atop { \frac{1}{4}a+ \frac{1}{2}b=29 }} \right.
[/tex]
3a=216 =>a=72
verificare:
72-22=50
[tex] \frac{1}{4}*72+ \frac{1}{2}*22= 18+11=29[/tex]
Raspuns:
cel mai mare nr :72
cel mai mic nr : 22
