Find the values of A and B which satisfy the given condition A B ├Ч A B = A C 4
Answers
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
hope this helps....
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