briannalane120
briannalane120 briannalane120
  • 17-04-2017
  • Mathematics
contestada

If the sum of three consecutive odd integers is at MOST 216, what is the largest possible value of one of these integers?

a) 69

b) 71

c) 74

d) 73

Respuesta :

shockwave89
shockwave89 shockwave89
  • 17-04-2017
⇔ We know that:
↔ Consider the smallest integer = a
↔ So, the next 2 integers will be [tex](a+2)[/tex] and [tex](a+4)[/tex]

⇔ Solution:
⇒ [tex]a+(a+2)+(a+4)=216[/tex]
⇒ [tex]3a=216-6[/tex]
⇒ [tex]3a=210[/tex]
⇒ [tex]a= \frac{210}{3}=\boxed{70} [/tex]

⇔ So, the largest possible value of one of these integers is:
∴ [tex]a+4=70+4=\boxed{\boxed{74}}[/tex]
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