Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

2.I am a three digit number. My tens digit is five more than my ones digit. My hundreds digit is eight less t?

2. I am a three digit number.

My tens digit is five more than my ones digit.

My hundreds digit is eight less than my tens digit.

What number am I?

10 Answers

Relevance
  • Anonymous
    1 decade ago
    Favorite Answer

    Let the number be abc.

    Then we have 4 statements:

    (1) b = c + 5

    (2) a = b - 8

    (3) 0 =< b,c < 10 (since they are each single digits)

    (4) 0 < a < 10 (since it is a 3 digit number, hence a is non-zero)

    From (1), (2), we get:

    (5) a = b - 8 = c + 5 - 8 = c - 3

    From (4), (5):

    c - 3 > 0 => c > 3

    From (1), (3):

    c + 5 < 10 => c < 5

    Since 3 < c < 5, hence c = 4.

    Using (1), (5), we get:

    b = 4 + 5 = 9

    a = 4 - 3 = 1

    Hence the number is 194.

    Nice riddle/question.

  • 6 years ago

    Let the number be xyz.

    From the given statement: I deduce the fact below.

    (1) y = z + 5

    (2) x = y - 8

    (3) 0 = < y,z < 10 (Because they are single digit each)

    (4) 0 < x < 10 (so far the numbers is a 3 digit, hence it is a non - zero numbers)

    From (1), (2), we get:

    y = z + 5 ........ (1)

    x = y - 8 ......... (2)

    From (2)

    x = y - 8

    y = x + 8 ............. equation(5)

    By equating equation (1) and equation (5)

    y = y

    z + 5 = x + 8

    x = z + 5 - 8

    x = z - 3 ........................ equation (6)

    From (4), (6):

    z - 3 > 0

    ∴ z > 3

    Hence, z > 3

    From (1), (3):

    z + 5 < 10

    z = < 10 - 5

    ∴ z < 5

    Since 3 < z < 5, hence z = 4.

    Using (1), (2), we get:

    y = 4 + 5 = 9

    x = 9 - 8 = 1

    ∴ x = 1, y = 9, z = 4

    Since the number is xyz

    Hence the number is 194.

  • 5 years ago

    I am a 3-digit number

  • Anonymous
    1 decade ago

    194

  • How do you think about the answers? You can sign in to vote the answer.
  • 1 decade ago

    '4'+5=9

    (if we consider the one's digit to be 1)

    9-8=1

    therefore, ans=194

  • 5 years ago

    I Am Three

  • lets see....

    194

    Source(s): a bit of thinking....
  • 1 decade ago

    194

    Haha Thats Good = ] Got any more?!

  • 1 decade ago

    491.?

  • 1 decade ago

    149.

    Good question.

Still have questions? Get your answers by asking now.