Find the Number

Discussion in 'Algebra' started by nycmathguy, Jul 26, 2022.

  1. nycmathguy

    nycmathguy

    Joined:
    Jun 27, 2021
    Messages:
    5,386
    Likes Received:
    420
    A number consist of two digits whose sum is 10. If 54 is added to the number, the order of the digits will be reversed. What is the number?

    Let me see.

    Let the ones digit of a two-digit number be x and tens digits to be y. Then the sum of the number is x+10y.

    Reversing the digits we get y + 10x.

    54 + x + 10y = y + 10x

    54 + 10y = 10x - x

    54 + 10y = 9x

    54 = 8x - 10y

    Our two systems of equations are

    x + y = 10
    8x - 10y = 54

    Correct system? The answer is 28.
     
    nycmathguy, Jul 26, 2022
    #1

    1. Advertisements

  2. nycmathguy

    MathLover1

    Joined:
    Jun 27, 2021
    Messages:
    2,989
    Likes Received:
    2,883
    Correct
     
    MathLover1, Jul 26, 2022
    #2
    nycmathguy likes this.

    1. Advertisements

  3. nycmathguy

    nycmathguy

    Joined:
    Jun 27, 2021
    Messages:
    5,386
    Likes Received:
    420
    Thanks.
     
    nycmathguy, Jul 27, 2022
    #3

    1. Advertisements

Ask a Question

Want to reply to this thread or ask your own question?

You'll need to choose a username for the site, which only take a couple of moments (here). After that, you can post your question and our members will help you out.
Similar Threads

  1. How to convert a float number to integer number which will be used as the index number of an array

  2. Find count of binary number pattern within concatenated number

  3. How to find the machine number nearest to an exact number -- N[] fails

  4. How can I use 'find' to find a certain number of elments?

  5. to find the maximum location of the real number

  6. in an assignment number A<:> = B, the number of elemnts must be the same

  7. The number of response pairs for estimating correlation is less than or equal to the number of regre

  8. Find the number of N,where N is a 4-digit number

Loading...