What are consecutive numbers?

-The sum of TWO consecutive whole numbers is 99. What are they?

-The sum of THREE consecutive whole numbers is 99. What are they?

Can someone please show me if there is working out? (if needed)

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  1. consecutive numbers are numbers which are next to each other. for example, 2 and 3 are consecutive. also, 5, 6, 7 and 8 are consecutive.

    for the first question,
    first, we represent the unknowns using variables.
    let x = first number
    let x+1 = second number
    note that the second number is x+1 because they are consecutive, and thus the difference between them is 1.
    then we set-up the equation. since it's said in the problem that their sum is 99,
    x + (x + 1) = 99
    then we solve for x:
    2x + 1 = 99
    2x = 99 - 1
    2x = 98
    (2x)/2 = 98/2
    x = 49
    x+1 = 50

    for the second problem, we do the same. in this case, there are three unknowns:
    let x = first number
    let x+1 = second number
    let x+2 = third number
    then set-up equation:
    x + (x + 1) + (x + 2) = 99
    and solve for x,
    3x + 3 = 99
    3x = 99 - 3
    3x = 96
    (3x)/3 = 96/3
    x = 32
    x+1 = 33
    x+2 = 34

    hope this helps~ :)

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