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A 4-digit number. The sum of its digits is 18. The last two digits are 5 times as much as the first 2 digits. The hundreds and ones places have the same digit.

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    The last two digits must be a multiple of 5 of a two digit number; The first two digit number is 10. So the last two digits can be

    50, 55, 60, 65, . . .
    If the last two digits are 50 then the number is

    1050
    1155
    1260
    1365
    1470
    1575--this is the first number where the hundreds and ones place have the same digit, and the sum of the digits is 18

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