Question

find the values Of A and B which satify the given condition AB× AB=AC4

Answer 1

Answer :

Here we have AB × AB = AC4

So, we have a number multiplied to itself and gives three digit number with end digit 4 .

We can have end digit 4 , when we have our numbers

AB = 12 or 18 or 22 or 28
So,

12 × 12 = 144 ( Here we have A = 1 to satisfied AB × AB = AC4 )

18 × 18 = 324 ( Here we have different values of A = 1 and 3 , that is not satisfied AB × AB = AC4 )

22 × 22 = 484 ( Here we have different values of A = 2 and 4 , that is not satisfied AB × AB = AC4 )

28 × 28 = 784 ( Here we have different values of A = 2 and 7 , that is not satisfied AB × AB = AC4 )

Or

32 × 32 = 1024 ( Here we have 4 digit number and we get 4 or more digit number after 32 )

So,

Our number is
12 × 12 = 144
Compare with

AB × AB = AC4 , we get

A = 1 , B = 2 and C = 4