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2 September, 12:12

The sum of two numbers is 67 one number is 14 less than twice the other number find the two numbers define your variables

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Answers (2)
  1. 2 September, 13:01
    0
    If the other number is x, then the first can be expressed as 2x-14. Then the sum of the numbers is

    x + 2x - 14 = 67

    3x - 14 = 67

    3x = 81

    x = 27

    2x - 14 = 40

    The numbers are 27 and 40.
  2. 2 September, 13:14
    0
    -We need to start by first declaring variables to our numbers. We will use 'a' for the first number and 'b' for the second number.

    -These are what the equations would look like because of what was said in the description.

    a + b = 67

    a = 2b - 14

    now we can substitute 'a' into the first equation since it is given to us.

    (2b - 14) + b = 67

    -Now we can simplify until we get 'b' alone

    3b - 14 = 67

    3b = 81

    b = 27

    -Now, substitute 'b' into the first equation and simplify until 'a' is alone.

    a + 27 = 67

    a = 40

    -To check this we can substitute our answers into the second equation since we already know it works on the first one.

    (40) = 2 (27) - 14

    40 = 54 - 14

    40 = 40

    -So in conclusion your answers would be:

    First number (a) = 40

    Second number (b) = 27
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