The sum of two numbers is 48. The difference of the same two numbers is 24. What are the numbers?

17 Answers

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  • 2 months ago

    12 and 36

    Add them up: 12 + 36 = 48 (your sum)

    Subtract them: 36 - 12 = 24 (difference)

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  • 2 months ago

    x + y = 48

    x - y = 24

    x = 36, y = 12

    The two numbers are 36 and 12.

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  • 2 months ago

    Let's do some algebra.

    We can express this as a quadratic, via taking the 4th root of unity of the difference between 48 and 24, which is 24.

    Then, applying Vieta's Formulas, and phi(48)+phi(24) (phi is totient function), we get

    x^2 - 48 x + 432 = 0

    Solve the quadratic, the two roots are your answer.

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  • 2 months ago

    The numbers are 12 and 36.

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  • 2 months ago

    x + y = 48

    x - y = 24

    ---------------

     2x = 72

     x = 36 answer//

    solve for y from eq 1

    x + y = 48

    36 + y = 48

     y = 48 - 36 

    y =12 answer//

    • Chewue2 months agoReport

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  • Como
    Lv 7
    2 months ago

    x  + y   = 48

    x  - y   = 24______add

    2x   = 72

    x   = 36 

    y   = 12

    Numbers are 12  and  36

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  • sepia
    Lv 7
    2 months ago

    The sum of two numbers is 48. 

    The difference of the same two numbers is 24. 

    x + y = 48

    x - y = 24

    x = 36, y = 12

    The two numbers are 36 and 12.

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  • DWRead
    Lv 7
    2 months ago

    x+y = 48

    x-y  = 24

    -----------

    2x   = 72

    x = 36, y = 12

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  • 2 months ago

    Let a be the bigger number

    Let b be the smaller number

    a + b = 48

    a - b = 24

    Add the two equations

    2a = 72

    a = 72/2

    a = 36

    Then plug that into either equation to figure out b:

    36 + b = 48

    b = 48 - 36

    b = 12

    Answer:

    36 and 12

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  • 2 months ago

    a + b = 48

    a – b = 24

    add

    2a = 72

    a = 36

    b = 48 – a = 12

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