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Jm asked in Science & MathematicsMathematics · 1 decade ago

The Sum of three consecutive odd integers is 45?????

Find the integers. helping my niece with homework what is this????

Update:

how do you get the answer is what I really need to know thanks!!!

9 Answers

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  • 1 decade ago
    Favorite Answer

    x

    x+2

    x+4

    3x + 6 = 45

    3x = 39

    x = 13

    so 13, 15, 17 are the 3 consecutive odd integers

  • Anonymous
    1 decade ago

    If n is the first of these odd integers, then the next odd integer is n+2 and the one after that is n+4. If their sum is 45, then:

    n + (n+2) + (n+4) = 45

    You can simplify and solve this for n. Then once you have n, you can find out what n+2 and n+4 are to get all three numbers:

    3n + 6 = 45

    3n = 39

    n = 13, so the other numbers are 15 and 17

  • 1 decade ago

    Assuming the first odd integer is x

    then

    x + x+2 + x+4=45

    3x + 6=45

    3x=39

    x=13

    Integers are 13, 15, 17

  • 1 decade ago

    Let x = 1st odd integer

    Let (x + 2) = 2nd odd integer

    Let (x + 4) = 3rd odd integer

    Add them all and let the total be 45

    x + (x+2) + (x+4) = 45

    x + x + 2 + x + 4 = 45

    3x + 6 = 45

    Then start transposing:

    3x = 45 - 6

    3x = 39

    x = 39 / 3

    And voila! Here is your answer

    x = 13

    x + 2 = 15

    x + 4 = 17

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  • ?
    Lv 4
    4 years ago

    13, 15, 17 in actuality you divide 40 5 through 3 it incredibly is 15 and to locate 3 consecutive unusual integers in simple terms use the unusual integer suitable in the previous it (13) and the only suitable after it (17) this 13, 15, 17

  • 1 decade ago

    x + x + 2 + x + 4 = 45

    3x + 6 = 45

    3x + 6 - 6 + 45 - 6

    3x = 39

    3x / 3 = 39 / 3

    x = 39/3

    x = 13

    - - - - - - - --

    The first integer is 13

    The second integer is 15

    The third integer is 17

    - - - - - - - - -s-

  • john c
    Lv 6
    1 decade ago

    45 / 3 = 15

    answer = 13, 15 , 17

  • 1 decade ago

    x+(x+2)+(x+4)=45 where x is odd

    3x+6=45

    x=13

    the numbers 13 15 and 17

  • 1 decade ago

    let the integers be x-2,x,x+2,-----add them up 3x=45

    x=15....hence the numbers are 13,15,17.....bye

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