A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

The sum of the digits of a two-digit number is 12. When the digits are reversed, the new number is 18 less than the original number. Find the original number.

  • This Question is Closed
  1. Hero
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    57 and 75.

  2. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I can't choose both.

  3. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    & how did you find the answer ?

  4. Hero
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The original number is 75

  5. Hero
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That's a good question. I used trial and error, but there should be a way to solve this algebraically.

  6. anonymous
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    75 i think?

  7. KingGeorge
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    If you want to solve it algebraically, simply use two variables x1, and x2 such that x1 represents the tens place, and x2 the ones place. Then, we can make the equations\[\begin{matrix}x_1 +x_2=12 \\ 10x_1 + x_2 = 10x_2 + x_1 +18 \end{matrix}\] Then, using simple algebra, this can be solved for \[\begin{matrix} x_1 = 7 \\x_2 = 5 \end{matrix}\] Giving us the original number: 75.

  8. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.