Răspuns :

Răspuns:

Explicație pas cu pas:

fiind consecutive, b + 12 este cu 1 mai mare decat a + 3, iar c - 6 este cu 2 mai mare decat a + 3

b + 12 = a + 3 + 1

c - 6 = a + 3 + 2

b = a + 3 + 1 - 12 = a - 8

c = a + 3 + 2 + 6 = a + 11

a + b + c = 75

a + a - 8 + a + 11 = 75

3a = 75 - 11 + 8 = 72

a = 72 : 3 = 24

b = 24 - 8 = 16

c = 24 + 11 = 35

Răspuns:

[tex]a+b+c=75\\\\a+3+1=b+12=>a = b+12-4=> a = b+8\\\\b+12+1=c-6=>b=c-6-13=>b=c-19\\\\a = c-19+8=> \boxed{a = c -11}\\\\c-11+c-19+c = 75\\\\3c-30=75\\\\3c=75+30\\\\3c=105\\\\\boxed{c=35}\\\\a = 35 -11\\\\\boxed{a=24}\\\\b=35-19\\\\\boxed{b=16}[/tex]

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