Question

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?

Answer 1

67

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