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10 December, 08:30

18. One number is 3 less than a second number. Twice the second number is 12 more than 3 times the first.

Find the two numbers.

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Answers (1)
  1. 10 December, 10:54
    0
    Answer: The numbers are - 3 and - 6

    Step-by-step explanation:

    Let the first number be x and the second number be y, then from the first statement we have

    x + 3 = y ... equation 1

    From the second statement

    2y = 3x + 12 ... equation 2

    solving the resulting simultaneous equation by substitution method, we have:

    substitute x - 3 = y into equation 2, we have

    2 (x + 3) = 3x + 12

    2x + 6 = 3x + 12

    2x - 3x = 6

    x = - 6

    substitute x = - 6 into equation 1, that is

    - 6 + 3 = y

    Therefore,

    y = - 3

    2y = 3y + 3

    Check:

    x + 3 = y, implies

    -6 + 3 = - 3 = y

    Also 2y = 3x + 12, implies

    2 (-3) = - 6

    3 (-6) + 12 = - 6
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