Find the values of the letters in the following and give reasons for the steps involved. 1 A × A = 9 A

According to the question that when a digit A multiplies with itself then the unit digit of the answer should be A. 1, 5 and 6 are those numbers which satisfy the above condition so put 1, 5 and 6 in place of A and check
11 × 1 = 11
15 × 5 = 75
16 × 6 = 96
So, the value of A is 6.