The sum of 5 consecutive even numbers is 250. What is the fourth number in this sequence?

Question

The sum of 5 consecutive even numbers is 250. What is the fourth number in this sequence?

in progress 0
Euphemia 4 years 2021-07-24T00:53:31+00:00 1 Answers 23 views 0

Answers ( )

  1. linhdan
    0
    2021-07-24T00:54:55+00:00
    Reply

    Answer:

    Our fourth number is 52.

    Step-by-step explanation:

    Let our first even number be x.

    Then the second even number must be (x + 2), the third (x + 4), fourth (x + 6), and the fifth (x + 8).

    They sum to 250. Hence:

    x+(x+2)+(x+4)+(x+6)+(x+8)=250

    Solve for x. Combine like terms:

    5x+20=250

    Subtract 20 from both sides:

    5x=230

    And divide both sides by five. Hence:

    x=46

    Thus, our sequence is 46, 48, 50, 52, and 54.

    Hence, our fourth number is 52.

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )