Please help guys what is the answer to this.
The sum of 6 consecutive integers is 387 what is the sixth number in this sequence?

Respuesta :

Answer: i got 67 or 62 cs when I did the wok on paper i got 67 but now I got 62

Step-by-step explanation:

Concept-Let the six numbers be x , x+1, x+2, x+3, x+4, x+5

Then add all the numbers and get the value of x

then find the sixth number in the sequence

Given-The sum of 6 consecutive integers is 387.

Find-Find the sixth number in this sequence

Solution-Let the six numbers be x , x+1, x+2, x+3, x+4, x+5

We know that , the sum of 6 numbers are 387

So x+x+1+x+2+x+3+x+4+x+56x + 15 = 3876x = 387 - 156x = 372x = 62

Answer:

67

Step-by-step explanation:

Let x be the first integer.

Therefore, the six consecutive integers are:

  • x
  • x + 1
  • x + 2
  • x + 3
  • x + 4
  • x + 5

If the sum of the six consecutive integers is 387 then:

⇒ x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 387

⇒ 6x + 15 = 387

⇒ 6x + 15 - 15 = 387 - 15

⇒ 6x = 372

⇒ 6x ÷ 6 = 372 ÷ 6

⇒ x = 62

To find the sixth number, substitute the found value of x into the expression for the sixth number:

⇒ x + 5 = 62 + 5 = 67