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2 November, 11:17

Sum of two numbers is 95. If one number exceeds the other by 15, find the number.

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Answers (2)
  1. 2 November, 11:44
    0
    40; 55

    Step-by-step explanation:

    To do this we can set up a simple system of equations.

    We can name the first number x

    and the second number y.

    This said, we can use the information we know to set up the following equations:

    x+y=95

    x+15=y

    Now, we can get ready for substitution by rearranging one equation

    x=y-15

    I did that by subtracting 15 from both sides to the second equation.

    Now, I can replace x with y-15 in the first equation in order to ensure that it only has one variable.

    y-15+y=95

    I can add y together.

    2y-15=95

    Add 15 to both sides.

    2y=110

    Divide both sides by 2.

    y=55

    Now, we just have to put that back into the equation.

    x+55=95

    Subtract 55 from both sides.

    x=40

    The two numbers are 40 and 55.
  2. 2 November, 11:44
    0
    The numbers are 40 and 55.

    Step-by-step explanation:

    Given,

    Sum of two numbers is 95.

    One number exceeds the other by 15.

    To find the numbers.

    Let,

    The two numbers are x and x+15

    According to the problem,

    x+x+15 = 95

    or, 2x = 95-15

    or, 2x = 80

    or, x = 40

    Hence,

    The numbers are 40 and 40+15 = 55.
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