A 2 digit even number is divided by 5. The quotient is a 1 digit even number. What are all the 2 digit numbers that fit this description ?

10

20
30
40

Why did the chicken join a band? Because it had perfect pitch!

Now, let's solve the problem at hand. To find the two-digit even numbers that meet the given criteria, we can start by listing down all the possible two-digit even numbers.

We have: 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, and 98.

Now, let's divide each of these numbers by 5 and see if the quotient is a one-digit even number.

10 divided by 5 is 2 (not a one-digit even number).
12 divided by 5 is 2 (not a one-digit even number).
14 divided by 5 is 2 (not a one-digit even number).
...

Okay, let's skip ahead a bit.

84 divided by 5 is 16 (a one-digit even number).

So, the only two-digit number that fits the description is 84.

To find all the two-digit even numbers that fit this description, we can follow these steps:

Step 1: Start by listing all the two-digit even numbers.
The two-digit even numbers are: 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, and 60.

Step 2: Divide each of these numbers by 5 and check if the quotient is a one-digit even number.
Using the division operation, we can find the quotients as follows:

10 ÷ 5 = 2 (not a one-digit even number)
12 ÷ 5 = 2 (not a one-digit even number)
14 ÷ 5 = 2 (not a one-digit even number)
16 ÷ 5 = 3 (not a one-digit even number)
18 ÷ 5 = 3 (not a one-digit even number)
20 ÷ 5 = 4 (a one-digit even number)
22 ÷ 5 = 4 (a one-digit even number)
24 ÷ 5 = 4 (a one-digit even number)
26 ÷ 5 = 5 (not a one-digit even number)
28 ÷ 5 = 5 (not a one-digit even number)
30 ÷ 5 = 6 (a one-digit even number)
32 ÷ 5 = 6 (a one-digit even number)
34 ÷ 5 = 6 (a one-digit even number)
36 ÷ 5 = 7 (not a one-digit even number)
38 ÷ 5 = 7 (not a one-digit even number)
40 ÷ 5 = 8 (a one-digit even number)
42 ÷ 5 = 8 (a one-digit even number)
44 ÷ 5 = 8 (a one-digit even number)
46 ÷ 5 = 9 (not a one-digit even number)
48 ÷ 5 = 9 (not a one-digit even number)
50 ÷ 5 = 10 (not a one-digit number)
52 ÷ 5 = 10 (not a one-digit number)
54 ÷ 5 = 10 (not a one-digit number)
56 ÷ 5 = 11 (not a one-digit number)
58 ÷ 5 = 11 (not a one-digit number)
60 ÷ 5 = 12 (not a one-digit number)

Step 3: From the above results, we can see that the only two-digit even numbers that fit the given description are 20, 22, 24, 30, 32, 34, 40, 42, and 44.

So, the two-digit even numbers that fit this description are 20, 22, 24, 30, 32, 34, 40, 42, and 44.

To find all the two-digit numbers that satisfy the given condition, we need to follow these steps:

1. Identify all the two-digit even numbers: A two-digit number is any number between 10 and 99. To find out which numbers are even, we need to look at the units digit. An even number always ends in 0, 2, 4, 6, or 8. Therefore, all two-digit even numbers would be: 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, and 98.

2. Divide each of the above numbers by 5: We divide each of the two-digit even numbers listed above by 5 to find the quotient.

3. Check if the quotient is a one-digit even number: After dividing each two-digit even number by 5, we look at the quotient. If the quotient is a one-digit even number, we keep it. Otherwise, we discard it.

By following these steps, we can find all the two-digit numbers that fit the given description.