the mystery number is a two didget even number.it is a multiple os 2,4,5,and 10 but not a multiple os 3 or 7. If you count by sixes there will be two left iver. What is rhe mystery number. Please explaine how you figured it out.

Didn't you like my answer from yesterday?

http://www.jiskha.com/display.cgi?id=1315347315

I started my thinking process by finding the smallest multiple of 2, 4, 5, and 10. See the above linked post for the rest of my answer.

20 divided by 6 = 3 with a remainder of 2.

my mystery number has 3 tens and 15 ones. What number am I thinking of?

it is less than 50 it is a square number the sum of the digits is 13

To find the mystery number, we'll go through the given clues step by step.

1. The mystery number is a two-digit even number.
We know that the mystery number is even, so it must end with 0, 2, 4, 6, or 8.

2. It is a multiple of 2, 4, 5, and 10.
Since the number is a multiple of 2, it must end with 0, 2, 4, 6, or 8.
Since it is a multiple of 4, it must be divisible by 2 twice, so it must end in 0 or 8.
Since it is a multiple of 5, it must end in 0 or 5.
Since it is a multiple of 10, it must end in 0.

3. It is not a multiple of 3 or 7.
Since we know the number is even and ends in 0, we don't need to consider multiples of 3 since they will always end in 0, 3, 6, or 9.
For multiples of 7, we will manually check if any of the remaining numbers (20, 40, 60, 80) are divisible by 7.

4. If we count by sixes, there will be two left over.
Start counting by sixes: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, ...
When we reach 18, there is a remainder of 2, so the mystery number is 18.

Therefore, the mystery number is 18.