find the values of the letter in each of the following and give reason for the steps involved.
answer is A=1,B=2,C=5
give answer in process
Answers
Given : AB
X B A
_______
B C B
To Find : Value of A , B and C where A , B and C are distinct digits.
Solution:
A B
* B A
______
A² A*B
A*B B² 0
_________
AB = B or 10 + B but if AB = 10 + B
then BA = 10 + B and that not possible as then number will be 4 digit number
Hence AB = B
It is only possible when A = 1 or B = 0
B = 0 is not possible as then numbers digit will be reduced.
1 B
* B 1
______
1 B
B B² 0
_________
B C B
1 + B² = C and with out carry over as B + 0 = B is in next step
B can not be 1 as A = 1
B = 3 => 1 + 3² = 10 Hence not possible and no larger value of B is possible
Hence
B = 2 => 1 + 2² = C = 5
1 2
* 2 1
______
1 2
2 4 0
_________
2 5 2
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