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

Answer Link

Otras preguntas

Which of the following statements is true about apartheid? It was enacted by the majority and imposed on minorities. It reserved important lands for native blac
what are the main characteristic of renaissance​
What is forensic science
when the mercury level in a barometer decreases that atmospheric pressure has
what was Henry David Thoreau's book Walden about
Which of the following statements accurately describes one effect World WarIl had on women's roles in both the United States and Great Britain?OA. The war creat
as scientist had investigated evolution from a variety fields they have found
How many planets are there
The algebra tiles represent the perfect square trinomial x2 + 10x + c. What is the value of c?​
A mixture initially contains A, B, and C in the following concentrations: [A] = 0.300 M , [B] = 1.05 M , and [C] = 0.550 M . The following reaction occurs and e