Question

The number is less than 5,000.

The number is even.

The digit in the ten's place is twice the digit in the thousand's place.

The digits in the thousand's, hundred's, and ten's place are even.

The digit in the hundred's place is the number of sides on a hexagon.

The digit in the ten's place is the number of quarters in two dollars.

The digit in the one's place is the identity element for addition.

The number is divisible by 10 and nine.

Answer 1

4680

Explanation:

First, we know the digit in the hundreds place is the number of sides on a hexagon, which is 6.

Then we know the digit in the tens place is how many quarters fit into $2, which is 8.

Then, since we know the digit of the tens place, and the thousands place is half of that, the thousands place is 4.

The ones ones place is 0 because it is the identity element for 0, but we can also conclude this because the number is divisible by 10, and only numbers ending in 0 can evenly divide by 10.

As a check, we know all numbers in this number are even, which satisfies that requirement. It is less than 5000. And finally, it can be divided by 9.