### Special Number

Tom has a very special four digit number.

To divide it by 7, you only had to drop its second digit.

What is the number?

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To divide it by 7, you only had to drop its second digit.

What is the number?

An acceptable solution might be :

Let first digit be x,

second digit be y,

and third and fourth digits be z.

The number is 1000x + 100y +z.

Dropping the second digit gives value as 100x + z.

So, 1000x + 100y + z = 7(100x + z).

Or, 150x + 50y = 3z.

Since 50 is common on the left, and z is 2 digits, let z=50.

Then 3x + y = 3.

Since x is not zero, let us assume x=1, then y=0.

So the number is 1050.

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