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algebra

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If the first and third of three consecutive odd integers are added, the result is 69 less than five times the second integer. Find all three integers.

  • algebra - ,

    first represent the unknowns with variables:
    let x = first number
    let x+2 = second number
    let x+4 = third number
    *since they are consecutive, and all of them are odd, they have a difference of 2, that's why it's x, x+2, x+4*
    now, setup equation using the given conditions:
    x + x+4 = 5(x+2) - 69
    distribute the 5 (right side of equation) and then combine similar terms,
    2x + 4 = 5x + 10 - 69
    2x + 4 = 5x - 59
    simplify this and solve for x.

    hope this helps. :)

  • algebra - ,

    thank you

  • algebra - ,

    5+16x<-59

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