Let @x denote the sum of the digits of the positive integ...

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PS · Problem Solving

705-805

Functions

Let @x denote the sum of the digits of the positive integer x. For example, @8 = 8 and

@123

= 1 + 2 + 3 = 6. For how many two-digit values of x is @(@x) = 3 ?

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A

3

B

4

C

6

D

9

E

10

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