Răspuns :
Răspuns:
Explicație pas cu pas:
52. a : b = 6
a - b = 45
____________
a = ?, b = ?
a : b = 6 -> a = 6*b
a - b = 45
6*b - b = 45
5*b = 45
b = 45 : 5
b = 9
a = 6*b = 6*9
a = 54
53. a : b = 4 r 5
a + b = 50
______________
a = ?, b = ?
a : b = 4 r 5 -> a = 4*b + 5
a + b = 50
4*b + 5 + b = 50
5*b = 5 = 50
5*b = 50 - 5
5*b = 45
b = 45 : 5
b = 9
a = 4*b + 5
a = 4*9 +5
a = 41
54. a : b = 3
a + b = 31
______________
a = ?, b = ?
55. a - b = 27
a : b = 2 r 6
______________
a = ?, b = ?
a : b = 2 r 6 -> a = 2*b + 6
a - b = 27
2*b + 6 - b = 27
b + 6 = 27
b = 27 - 6
b = 21
a = 2*b + 6
a = 2*21 + 6
a = 48
56. a + b + c = 23
a = 2*b + 3
c = 2*a
___________
a = ?, b = ?, c = ?
c = 2*a = 2*(2*b + 3) = 4*b + 6
a + b + c = 23
2*b + 3 + b + 4*b + 6 = 23
7*b + 9 = 23
7*b = 23 - 9
7*b = 14
b = 14 : 7
b = 2
a = 2*b + 3
a = 2*2 + 3
a = 7
c = 2*a
c = 2*7
c = 14