Solve the following cryptarithms: (i) `A B x6\\ B B B`

Explanation

All even numbers in the form `BBB` are divisible by `6`.
Here the one digit of `1/6` of the three-digit number and the digits of the three-digit number should be equal.
Check as `BBB= 222`.
`222 / 6 = 37`
The digits of three-digit no. is `2` and the one digit of its one-sixth is `7`. So this is not the answer.
Let `BBB` be `444`.
`444 / 6 = 74.`
The digits of the three-digit no. is `4` and the one digit of its one-sixth is `4`. So this is the answer.
If we check as `BBB= 666`, we get `666 / 6 = 111`. So `BBB= 666` and `888` are impossible.