1. On his birthday, Dadya Fyodor's parents give him an amount of money equal to the product of his father's age and his mother's age. Could it have happened that the amounts received by him in 2010 and 2011 ended with the same digit, and the amount received in 2012 was divisible by 10?
Problem 899
Official solution
Answer: It could. Solution. For example, if in 2010 Uncle Fyodor's father was 38 years old, and his mother was 31 years old. Note. All possible examples are when the ages of Uncle Fyodor's parents in 2010 end in the digits 3 and 6, or when they end in 1 and 8. There are no other examples.