In each of the following cases, find the least value/values of letters used in place of digits : A 1 + 1 B = B 0

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Firstly we will find the value of B. Clearly, 1 + B is a number whose ones digit is 0. ⇒ 1 + B = 0, 1 + B = 10, 1 + B = 20; and so on. ⇒ B = 0 - 1, B = 10 - 1, B = 20 - 1; and so on. ⇒ B = -1, B = 9, B = 19; and so on. Since, B is a digit, ∴ B = 9. Secondly we will find the value of A. Clearly, 1 is carried over on tens place. A + 1 + 1 = 9. ⇒ A + 2 = 9 , A + 2 = 19 , A + 2 = 29; and so on. ⇒ A = 9 - 2 , A = 19 - 2 , A = 29 - 2; and so on. ⇒ A = 7 , B = 17 ,B = 27; and so on. Since, A is a digit.∴ A = 7. A = 7 and B = 9

Mathematics

In each of the following cases, find the least value/values of letters used in place of digits : A 1 + 1 B = B 0

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