If two consecutive even numbers are added, the sum is equal to 226. What is the smaller of the two n

Discussion in 'Calculator Requests' started by math_celebrity, Jan 14, 2023.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    If two consecutive even numbers are added, the sum is equal to 226. What is the smaller of the two numbers?

    Let the smaller number be n.
    The next consecutive even number is n + 2.

    Add them together to equal 226:
    n + n + 2 = 226

    Solve for n in the equation n + n + 2 = 226

    Step 1: Group the n terms on the left hand side:
    (1 + 1)n = 2n

    Step 2: Form modified equation
    2n + 2 = + 226

    Step 3: Group constants:
    We need to group our constants 2 and 226. To do that, we subtract 2 from both sides
    2n + 2 - 2 = 226 - 2

    Step 4: Cancel 2 on the left side:
    2n = 224

    Step 5: Divide each side of the equation by 2
    2n/2 = 224/2

    n = 112

    Source
     

Share This Page