Friday, April 1, 2011

Letters Triangle

The letters represent different natural numbers under 100

A
B    C
D    E    F
G    H    I    J
K    L    M    N    O
P    Q    R    S    T    U



Each letter is the sum of the two natural numbers just below it.

What is each letter if C > B?
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2 comments:

  1. ClaudioApril 12, 2011 at 6:36 PM

    A= P+5Q+10R+10S+5T+U
    SO R + S < 9

    ..........98
    .......46...52
    .....26..20...32
    ..17...9...11...21
    12...5...4....7...14
    10 2 3 1 6 8

    ReplyDelete
  2. BenVitaleApril 13, 2011 at 8:12 PM

    Correct.

    Two cases, though.
    (1)
    --------------
    98
    52 46
    32 20 26
    21 11 9 17
    14 7 4 5 12
    8 6 1 3 2 10

    (2) if C > B
    ---------------
    98
    46 52
    26 20 32
    17 9 11 21
    12 5 4 7 14
    10 2 3 1 6 8

    ReplyDelete

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