Question 58

Find the value of the letters in the following question:

$A A X A________C A B$
and A - B =1

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Solution

Given, $A A X A________C A B$
Here, AA $\times$ A is a three- digit number, whose unit's digit is B, therefore A can take values from 4 to 9 as A = 0, 1, 2, 3 give a single digit or a two-digit number. Further, since ten's digit of the product is A itself. So, A cannot take values 4, 5, 6, 7 and 8.
Hence, A = 9 and then B = 1, C = 8,

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