kaimawakana
kaimawakana kaimawakana
  • 20-09-2019
  • Mathematics
contestada

If the sum of four consecutive numbers is 854, what is the last one?

Respuesta :

calculista
calculista calculista
  • 21-09-2019

Answer:

The last one is 215

Step-by-step explanation:

Let

x ----> the first consecutive number

x+1 ---> the second consecutive number

x+2 ---> the third consecutive number

x+3 ----> the fourth consecutive number

we have that

[tex]x+(x+1)+(x+2)+(x+3)=854[/tex]

solve for x

Combine like terms

[tex]4x+6=854[/tex]

Subtract 6 both sides

[tex]4x+6-6=854-6[/tex]

[tex]4x=848[/tex]

Divide by 4 both sides

[tex]x=212[/tex]

Find the last one

[tex]x+3=212+3=215[/tex]

therefore

The last one is 215

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