Question

Se considera numerele naturale nenule x,y,z impartind pe x la y obtinem catul 4 si restul 3 .impartind pe y la z obtinem catul 5 si restul 4
a ) Aratati ca x mai mare sau egal cu 100
b) Determinati x , y ,z stiind ca x+y+z =153

Answer 1

b.)x egal 4y plus 3, y egal 5 z plus 4, x plus y plus z egal 153, inlocuiesti 4y plus 3 plus 5z plus 4 plus z egal 153, 4y plus 6 z egal146, 20 z plus 16 plus 6z egal 146, 26z egal 130, z egal 5, x plus y egal 148, 4y plus 3 plus y egal 148, 5y egal 145, y egal 29, x plus 29 egal 148, x egal 119. proba 119 plus 29 plus 5 egal 153