Find the values of the letters in each of the following and give reasons for the steps involved


While multiplying A with A itself, we are getting a number whose ones digit is A again.

But, This happens only when A = 1, 5, or 6


Now,


If A = 1, then the multiplication will be 11 × 1 = 11. But, here the tens digit is given as 9


Therefore, A = 1 is invalid.


Similarly,


If A = 5, then the multiplication will be 15 × 5 = 75. Thus, A = 5 is also invalid.


If we take A = 6, then 16 × 6 = 96


Therefore, A should be 6


The multiplication is as follows:



Hence, the value of A is 6


3
1