Find the values of the letters and give reasons for the steps involved. `AB xx 3 =CAB`

Explanation

Given that AB×3=CAB

For B×3 to end with B it has to be either 0 or 5, as this are the only numbers which when multiplied will give the same number.

so taking B=5, we get carry-over, which will not give the next product as C A.

Thus, B=0.

Also, `A×3` ends with A, so `A=5.`

And `3×5=15`
∴ `C=1`

Hence, A=5,B=0 and C=1.