Question

Determină valoarea numărului necunoscut:
a) 32 : a = 5 rest 2
b) 75 : a = 8 rest 3
50 : a = 7 rest 1
39: a = 7 rest 4
26: a = 8 rest 2
30: a = 4 rest 2
84: a = 9 rest 3
29:a = 9 rest 2
c) a : 4 = 5 rest 2
a : 2 = 9 rest 1
a : 6 = 7 rest 5
a 5 = 8 rest 1
d) a : 3 = 7 rest 1
a: 8 = 9 rest 5
a : 7 = 8 rest 3
a: 4 = 3 rest 2
Dau Coroana Promit!​

Answer 1

a). 32 : a = 5, rest 2 => a • 5 + 2 = 32 => 5a + 2 = 32 => 5a = 32 - 2 => 5a = 30 => a = 30 : 5 => a = 6
b). 75 : a = 8, rest 3 => a • 8 + 3 = 75 => 8a + 3 = 75 => 8a = 75 - 3 => 8a = 72 => a = 72 : 8 => a = 9
c). 50 : a = 7, rest 1 => a • 7 + 1 = 50 => 7a + 1 = 50 => 7a = 50 - 1 => 7a = 49 => a = 49 : 7 => a = 7
d). 39 : a = 7, rest 4 => a • 7 + 4 = 39 => 7a + 4 = 39 => 7a = 39 - 4 => 7a = 35 => a = 35 : 7 => a = 5
e). 26 : a = 8, rest 2 => a • 8 + 2 = 26 => 8a + 2 = 26 => 8a = 26 - 2 => 8a = 24 => a = 24 : 8 => a = 3
f). 30 : a = 4, rest 2 => a • 4 + 2 = 30 => 4a + 2 = 30 => 4a = 30 - 2 => 4a = 28 => a = 28 : 4 => a = 7
g). 84 : a = 9, rest 3 => a • 9 + 3 = 84 => 9a + 3 = 84 => 9a = 84 - 3 => 9a = 81 => a = 81 : 9 => a = 9
h). 29 : a = 9, rest 2 => 9 • a + 2 = 29 => 9a + 2 = 29 => 9a = 29 - 2 => 9a = 27 => a = 27 : 9 => a = 3
i). a : 4 = 5, rest 2 => a = 4 • 5 + 2 => a = 20 + 2 => a = 22
j). a : 2 = 9, rest 1 => a = 9 • 2 + 1 => a = 18 + 1 => a = 19
k). a : 6 = 7, rest 5 => a = 7 • 6 + 5 => a = 42 + 5 => a = 47
l). a : 5 = 8, rest 1 => a = 8 • 5 + 1 => a = 40 + 1 => a = 41
m). a : 3 = 7, rest 1 => a = 7 • 3 + 1 => a = 21 + 1 => a = 22
n). a : 8 = 9, rest 5 => a = 9 • 8 + 5 => a = 72 + 5 => a = 77
o). a : 7 = 8, rest 3 => a = 8 • 7 + 3 => a = 56 + 3 => a = 59
p). a : 4 = 3, rest 2 => a = 3 • 4 + 2 => a = 12 + 2 => a = 14