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2021 AMC 10C Question 8

AMC10 · 2021 AMC 10C

Question 8

A two-digit positive integer is said to be *cuddly* if it is equal to the sum of its nonzero tens digit and the square of its units digit. How many two-digit positive integers are cuddly?
  1. $0$
  2. $1$
  3. $2$
  4. $3$
  5. $4$