Given that the HCF of a pair of a different numbers is 8, find two numbers: when one number is in the 20s and the other in the 30s
8 * 2 = 16
8 * 3 = 24
8 * 4 = 32
8 * 5 = 40
LOL, only two in there.
Tis better be right, and if its not look what I am going to do you twerp.
To find the two numbers, we need to consider the concept of the highest common factor (HCF) and the given information.
Let's denote the unknown numbers as "a" and "b", with "a" in the 20s range and "b" in the 30s range.
Step 1: List the factors of each number:
- Factors of "a": 20, 21, 22, 23, 24, 25, 26, 27, 28, and 29.
- Factors of "b": 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39.
Step 2: Identify the common factors between "a" and "b":
- Common factors: 1 (since every number has 1 as a factor), 2, 3, 4, and so on.
Step 3: Determine the HCF:
- Given that the HCF is 8, we need to find the common factor that is closest to 8.
Step 4: Identify the numbers that share this common factor:
- To find the numbers, we need to look for the smallest pair of numbers that have a common factor of 8.
From the list of factors, we can see that 24 and 32 share the common factor of 8. Therefore, the two numbers are 24 and 32.
In summary, when one number is in the 20s and the other is in the 30s, and their highest common factor is 8, the two numbers are 24 and 32.
To find two numbers, one in the 20s and the other in the 30s, such that their highest common factor (HCF) is 8, we can consider the following steps:
Step 1: Take any number in the 20s and any number in the 30s.
Let's choose 24 and 36 as our initial numbers.
Step 2: Find the factors of each number.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Step 3: Identify the common factors.
The common factors of 24 and 36 are 1, 2, 3, 4, 6, and 12.
Step 4: Determine the highest common factor (HCF).
From the common factors, we can observe that the highest common factor (HCF) of 24 and 36 is 12, not 8.
Step 5: Choose another set of numbers in the 20s and 30s.
Let's try another pair, such as 28 and 32.
Step 6: Find the factors of each number.
The factors of 28 are 1, 2, 4, 7, 14, and 28.
The factors of 32 are 1, 2, 4, 8, 16, and 32.
Step 7: Identify the common factors.
The common factors of 28 and 32 are 1, 2, 4.
Step 8: Determine the highest common factor (HCF).
From the common factors, we can see that the highest common factor (HCF) of 28 and 32 is 4.
Therefore, the two numbers, one in the 20s and the other in the 30s, with the highest common factor (HCF) of 8 do not exist.