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27 August, 08:49

When 90 is added to a number it equals 30 less than 3 times the number.

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Answers (2)
  1. 27 August, 09:05
    0
    The number is 60.

    Step-by-step explanation:

    Let x = unknown number.

    Now we translate the sentence into an equation, one piece at a time.

    When 90 is added to a number it equals 30 less than 3 times the number.

    x + 90

    When 90 is added to a number it equals 30 less than 3 times the number.

    x + 90 = 3x - 30

    We now solve the equation for x.

    Subtract 3x from both sides.

    -2x + 90 = - 30

    Subtract 90 from both sides.

    -2x = - 120

    Divide both sides by - 2.

    x = 60

    The number is 60.

    Check:

    When 90 is added to a number it equals 30 less than 3 times the number.

    Add 90 to 60:

    90 + 60 = 150

    We get 150.

    When 90 is added to a number it equals 30 less than 3 times the number.

    Now multiply 60 by 3 and subtract 30.

    3 (60) - 30 = 180 - 30 = 150

    We also get 150.

    That means our answer of 60 is correct.

    Answer: 60
  2. 27 August, 09:11
    0
    90+x=30-3[x]

    Step-by-step explanation:

    collect like terms

    x+3x=30-90

    4x=-260

    divide both sides by 4

    x=-60/4

    x=-4*3*5/4

    x=-[3*5/1]

    x=-[3*5]

    x=-15
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