1.

Find the values of the letters and give reasons for the steps involved. `12A + 6AB =A09`

Answer» `12A+6AB = A09`
Here, we can see that , `A+B = 9->(1)`
`2+A = 0->(2)`
`1+6 = A->(3)`
From (2), we can see that possible values for `A` is `8` or `7`.
For `A` to be `7`, `A+B` should be greater that `9` that is not possible from `(1)`.
So, value of `A` is `8`.
From (1), we can see that if `A` = `8`, then `B = 9 - 8= 1`
So, `A = 8 and B=1`


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