Final answer:
To find a pair of numbers that meet the given conditions, let the smaller number be x. The HCF is half the smaller number. Choose a value for the larger number and find their greatest common factor to get one possible pair of numbers.
Step-by-step explanation:
To find a pair of numbers that meet the given conditions, we need to set up an equation. Let the smaller number be x. Since the HCF is half the smaller number, the HCF = x/2.
The other number is greater than 10, so let's choose a value for the larger number, say y = 12. To find the HCF of x and y, we need to find the factors of both numbers and see which one is their greatest common factor.
If x = 20, then the HCF of x and y would be 10, which is half of x. Therefore, one possible pair of numbers is x = 20 and y = 12.
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