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25x-6x=150-10+12
19x=152
x=8
x= menor
x+1= mediano
x+2= mayor
x/2= mitad del menor
(x+1)/3= tercera parte del mediano
(x+2)/5= quinta parte del mayor
x/2 + (x+1)/3 - (x+2)/5= 5
30[x/2+ (x+1)/3 - (x+2)/5= 5]
30/2 x + 30/3 (x+1) - 30/5 (x+2)= 30(5)
15x+ 10(x+1) - 6(x+2)= 150
15x + 10x+ 10 - 6x-12= 150
25x-6x-2= 150
19x-2= 150
19x= 150+2
19x= 152
x= 152/19
x= 8
Números:
Menor x= 8
Medio x+1= 8+1= 9
Mayor x+2= 8+2= 10
R. Los números consecutivos son:
8, 9 y 10
Comprobación:
x/2 + (x+1)/3 - (x+2)/5 = 5
8/2 + (8+1)/3 - (8+2)/5 = 5
8/2 + 9/3 - 10/5 = 5
4 + 3 - 2 = 5
7 - 2 = 5
5 = 5