If 3 is added to a number and the sum is tripled​, the result is 21 more than the number. find the number.

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If 3 is added to a number and the sum is tripled​, the result is 21 more than the number. find the number.

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    2021-11-25T21:36:42+00:00

    If 3 is added to the number: x + 3
    b) …and the sum is tripled.. 
    “The sum” is “x + 3” so: 3(x+3)
    c) …the result is 27 more than the number.
    27 more than the number is x + 27 
    d) Put it all together:
    3(x + 3) = x + 27 
    Solve for x: 
    1) Distribute the left side of the equation:
    3x + 9 = x + 27

    2) Subtract x from each side of the equation:
    2x + 9 = 27
    3) Subtract 9 from each side of the equation:
    2x = 18
    4) Solve for x:
    x = 9 
    Check: 
    1) x = 9
    2) 3(x + 3) = x + 27
    3) 3 ([9] + 3) = [9] + 27
    4) 3(12) = 9 + 27
    5) 36 = 36 

    So, therefore The answer is correct

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