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a+v = 55= a= 55 - v 385= 4v+ 7v
385/11= v
35= v
a/5= v/8 = 8a = 5v = 8a = 5(6+a)= 8a=30+5a
v-a=6 = v= 6+a 8a-5a=30
3a= 30
a=30/3
a=10
a/3= v/4 = c/2
4a=3v =a=3v/4 / 2v= 4c = 2v/4= c
2a=3c=2a/3=c
a + v+ c = 54 ahora hallamos a por ultimo hallamos c
3v/4+ v + 2v/4=54 a + v+ c = 54 a + v + c= 54
5v/4 + v = 54 a+ 24+2a/3 = 54 18+24+ c = 54
(5v+4v)/4 =54 a+ 2a/3 = 54-24 42+ c=54
9v/4 =54 (3a+ 2a)/3 = 30 c= 54-42
9v= 216 5a/3=30 c= 12
v= 216/9 5a= 30(3)
v= 24 5a= 90
a= 18
a=4/7b =====> a= 55 - b
4/7b = 55 -b
4/7b + b = 55
(4+7)b/7 = 55
11/7b =55
b=(55) / ( 11/7)
b=385/11
b=35
a/5=b/8 =====> b-a= 6
(a/5)8=b =====> b = a+6
8a/5 = a+6
8a/5 -a =6
(8a - 5a)/5 = 6
3a = 30
a = 30/3
a = 10
a/3 = b/4 = c/2 ===> a+b+c = 54
dividimos para 3 toda la ecuación
a/3 + b/3 + c/3 = 54/3 ===> b/4 + b/3 + c/3 = 18
(3b + 4b) /12 + c/3 = 18
7b/12 + c/3 = 18
multiplicamos por 3
21b/12 + c = 54
7b/4 + c = 54
dividimos para 2
7b/8 + c/2 = 54/2
7b/8 + b/4 = 27
(7b+2b)/8 = 27
9b/8 = 27
9b = 27 *8
9b = 216
b = 216/9
b=24
primera presmisa ===> a/3 = b/4 = c/2
a/3 = 24/4 = c/2
a/3 = 6 = c/2
a= 18
b= 24
c = 12
18 +24 + 12 = 54
suerte ;-)