**Here is the question again:**

There are eight doors in a row. Behind each door is a number. Each number is less than 20. No two numbers are the same, and the numbers on the doors are in order.

• three of the numbers are prime numbers

• two of the numbers are square numbers

• two of the numbers are multiples of 5

• five of the numbers are even

• three is a factor of two of the numbers

• there is a run of two consecutive numbers, and another run of four consecutive numbers.

• the numbers sum to 93

What are the numbers on the doors?

• three of the numbers are prime numbers

• two of the numbers are square numbers

• two of the numbers are multiples of 5

• five of the numbers are even

• three is a factor of two of the numbers

• there is a run of two consecutive numbers, and another run of four consecutive numbers.

• the numbers sum to 93

What are the numbers on the doors?

**How did I do it?**

I used a spreadsheet, Exel

I tried to satisfy the 4 consecutive numbers first

Then the 2 conscutive numbers

**And here is the answer:**

2, 4, 10, 11, 15, 16, 17, 18

It all equals 93

2, 11, 17 are the prime numbers

4, 16 are the square numbers

10, 5 are multiples of 5

2, 4, 10, 16, 18 are all the even numbers

15, 18 are factors of 3

10, 11 are the two consecutive numbers

15, 16, 17, 18 are the four consecutive numbers