Question

si a+1=b+2=c+3=d+4=a+b+c+d+5 cual es el valor de a+b+c+d

Answer 1

a + 1 = b + 2> b = a + 1-2> b = a-1  

a + 1 = c + 3> c = a + 1-3> c = a- 2  

a + 1 = d + 4> d = a + 1-4> d = a-3  

sustituyendo así  :

a + 1 = a + (a-1) + (a-2) + (a-3) +5 o  

a +1 = 4a-6 + 5 = 4a-1  

a = 4a-2  

2 = 3a> a  

= 2/3 b = a-1> b = 2/3 - 1 = -1 / 3  

c = a-2> c = 2/3 -2 = -4/3  

d = a-3> d = 2/3 - 3 = -7/3  

comprobando a + 1 = a + b + c + d + 5  

5/3 = 2 / 3 -1/3 - 4/3 - 7/3 +5 funciona!  

entonces,  

a + b + c + d = 2/3 -1 / 3-4 / 3-7 / 3 = -10/3!

gracias xd