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Australian AMC 2016 - Middle Primary Question 26

AMC AUSTRALIA · Australian AMC 2016 - Middle Primary

Question 26

With some 3-digit numbers, the third digit is the sum of the first two digits. For example, with the number 213 we can add 1 and 2 to get 3, so the third digit is the sum of the first two digits.

How many 3-digit numbers are there where the third digit is the sum of the first two digits?