The sum of 2 numbers is 51. Their difference is 5?

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  • 4 weeks ago

    x + y = 51

    x - y = 5

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

    2x = 56

    x = 28

    from eq1 1

    x + y = 51

    28 + y = 51

    y = 51 - 28

    y = 23

    The numbers are 28 and 23.... Answer//

  • 4 weeks ago

    The sum of 2 numbers is 51.

    Their difference is 5.

    x + y = 51

    x - y = 5

    2x = 56

    x = 28, y = 23.

  • 4 weeks ago

    28 and 23 are the numbers.

  • 4 weeks ago

    The answer is x= 23 and y= 28...

    Because you said the difference is 5 but it splits into half because it the sum of 2 (1/2) so half of 5 is 2.5, half of 51 is 25.5. That number is 2.5 more then 23 and 2.5 less then 28. Marking 25.5 right in the middle!!!!!!

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  • 4 weeks ago

    The numbers are (51 + 5)/2 = 28 and (51 - 5)/2 = 23.

    Source(s): If x+y=m and x-y=n then 2x = m+n, so x = (m+n)/2, and 2y = m-n, so y = (m-n)/2.
  • oubaas
    Lv 7
    4 weeks ago

    a+b = 51

    a-b = 5

    2a = 56

    a = 28

    b = 51-28 = 23

  • David
    Lv 7
    4 weeks ago

    The numbers are 28 and 23

  • geezer
    Lv 7
    4 weeks ago

    So ..

    A + B = 51

    and

    A - B = 5

    Take the second one

    A - B = 5

    add B to both sides

    A = 5 + B

    Now, substitute A for 5 + B in the first one

    A + B = 51

    5 + B + B = 51

    subtract 5 from both sides

    B + B = 51 - 5

    add the B's together and subtract 5 from 51

    2B = 46

    divide both sides by 2

    B = 23

    and to get the other number ..

    51 - 23 = 28

    So the numbers are 23 and 28

  • rotchm
    Lv 7
    4 weeks ago

    Hint: Try to work it out.

    Since the difference is 5, the two numbers are close to each other.

    So try 25 & 26. Nope.

    Try 24 & 27, nope.

    Try a few more.

    Done!

    Or algebraically: a+b=51 & a-b = 5. Solve the system. Done!

    Hopefully no one will spoil you the answer thereby depriving you from your personal enhancement; that would be very inconsiderate of them. Too late!

    • rotchm
      Lv 7
      4 weeks agoReport

      Yes, there are *many* ways to find the answer.

  • 4 weeks ago

    23 and 28 are the numbers

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