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6 February, 02:29

The sum of two consecutive odd integers is 132. What are the two integers?

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Answers (2)
  1. 6 February, 04:56
    0
    65 and 67

    Step-by-step explanation:

    two consecutive odd numbers would look like this:

    x and x + 2

    this is because of how counting numbers works:

    1 2 3 4 5 6 7

    the consecutive numbers here would be 1, 3, 5, 7, etc.

    if one number (x) was 1, the next number would be (x + 2) which is three. This formula will work for all consecutive odd numbers.

    so, x + x + 2 = 132

    2x + 2 = 132

    -2 - 2

    2x = 130

    /2 / 2

    x = 65

    the first number is x = 65

    the second number is x + 2 which means this number is 65 + 2 = 67

    (check: 65 + 67 = 132)
  2. 6 February, 06:03
    0
    65 and 67

    Step-by-step explanation:

    we can represent even numbers as 2n where n is an integer

    so odd integers can be represented as 2n+1

    consecutive odd integers are 2 apart (like 1,3,5, etc)

    so we can represent the 2 odd consecutive integers as 2n+1 and 2n+3

    their sum is 132

    (2n+1) + (2n+3) = 132

    expand

    2n+1+2n+3=132

    4n+4=132

    minus 4 from both sides

    4n=128

    divide both sides by 4

    n=32

    the numbers are 2n+1 and 2n+3

    2n=2*32=64

    2n+1=64+1=65

    2n+3=64+3=67

    the 2 integers are 65 and 67
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