Ask Question
27 July, 03:01

The difference between a two-digit number and that number reversed is 18. What could that number be? List all possibilities.

+4
Answers (1)
  1. 27 July, 04:01
    0
    A two digit number can be written like AB or 10*A + B (for example the number 36 can be written like 3*10 + 6 = 36)

    You can write this problem as

    10*A + B - (10*B + A) = 18

    10*A + B - 10*B - A = 18

    9*A - 9*B = 18

    9 (A - B) = 18

    A - B = 2

    A and B are digits, that means that both are either 0,1,2,3,4,5,6,7,8 or 9 (except that A cannot be 0 bcs the first digit in a two digit number cannot be 0)

    So the combinations are

    9 - 7 = 2

    8 - 6 = 2

    7 - 5 = 2

    6 - 4 = 2

    5 - 3 = 2

    4 - 2 = 2

    3 - 1 = 2

    2 - 0 = 2

    And we have the numbers:

    97 (B is 79)

    86 (B is 68)

    75 (B is 57)

    64 (B is 46)

    53 (B is 35)

    42 (B is 24)

    31 (B is 13)

    20 (B is 2)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “The difference between a two-digit number and that number reversed is 18. What could that number be? List all possibilities. ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers