cailynpark08
Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Ina two digit number, the units digit is twice the tens digit. If the number is doubled, it will be 9 more than the number reversed. Find the number

Sagot :

sqdancefan

9514 1404 393

Answer:

  36

Step-by-step explanation:

Let the digits of the number be represented by t for the tens digit and u for the units digit.

  u = 2t . . . . . . . . the units digit is twice the tens digit

  2(10t +u) = (10u +t) +9 . . . . . double the number is 9 more than its reverse

Substituting for u, we have ...

  2(10t +2t) = 10(2t) +t +9

  24t = 21t +9 . . . . . . . . . . . collect terms

  3t = 9 . . . . . . . . . . . . . subtract 21t

  t = 3 . . . . . . . . . . . divide by 3

  u = 2t = 6 . . . . find u

The number is 36.

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.