Question

a)Scrieti numerele prime mai mici decat 35. .b) Determinati numerele prime a si b stiind ca 3a+16b=54 .16b si 54 sunt numere pare,deci... c)Determinati numerele prime a si b stiind ca 7a+16b=94. d)Determinati numerele prime a si b stiind ca 2a+5b+6c=74

Answer 1

a) 1, 2, 3, 5, 7, 11, 17, 19, 23, 29,  31

b)3a + 16b = 54 
3 × 2 + 16 × 3 = 6 + 48 = 54   =>   a = 2 ,  b = 3

c)7a + 16b = 94
7 ×2 + 16 ×5 = 14 + 80 = 94     =>  a = 2 ,  b = 5

d)2a +  5b + 6c = 74
2×23  + 5×2 + 6×3 = 46 + 10 + 18 = 74  =>  a = 23,  b = 2,  c = 3