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Two numbers to have a hcf of 4 one of the numbers is between 10 and 20 and the other is between 20 and 40 what are the two numbers find all possible answers

User Whittle
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1 Answer

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To find all possible answers, we can start by listing all the numbers between 10 and 20, and all the numbers between 20 and 40, and then check which pairs of numbers have a highest common factor of 4.

Numbers between 10 and 20: 10, 11, 12, 13, 14, 15, 16, 17, 18, 19

Numbers between 20 and 40: 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40

To have a highest common factor of 4, both numbers must be divisible by 4. Therefore, we can eliminate any numbers in these lists that are not divisible by 4.

Numbers between 10 and 20 that are divisible by 4: 12, 16, 20

Numbers between 20 and 40 that are divisible by 4: 20, 24, 28, 32, 36, 40

Now we can check which pairs of these numbers have a highest common factor of 4.

some possible answers are:

12 and 20

12 and 24

12 and 28

12 and 32

12 and 40

16 and 20

16 and 24

16 and 28

16 and 32

16 and 40

20 and 24

20 and 28

20 and 32

20 and 36

20 and 40

there are more answers, all you have to do is to pair 2 numbers.

if you do not want to include 20 and 40 make sure to not chose them.

Hope this could help.

User Paul Cornelius
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