3. For two two-digit, integer, positive numbers $a$ and $b$, it is known that 1) one of them is 14 greater than the other; 2) in their decimal representation, one digit is the same; 3) the sum of the digits of one number is twice the sum of the digits of the other. Find these numbers.
Answer: $a_{1}=37, b_{1}=23 ; a_{2}=31, b_{2}=17$.