Question

determinati numerele prime a,b,c,stiind cac3a+3B+4C=30

Answer 1

3a+3b+4c=30

3(a+b)+4c=30, 30 si 3(a+b) divizibile cu 3=> si 4c divizibil cu 3
=> c=3
3(a+b)+4x3=30 |:3
a+b+4=10
a+b=6
3+3=6
deci a=3, b=3

a=b=c=3
verificare: 3x3+3x3+4x3=9+9+12=30