Answer:
The numbers are 21 and 28
Step-by-step explanation:
Here, we want to write out the two numbers from the information in the question
Firstly, the two numbers are greater than 10
The highest common factor of both numbers is 7
While the lowest common multiple of both numbers is 84
Since 7 is a factor of both, the numbers must be multiples of 7
So let us list out the multiples of 7 greater than 10
14, 21 , 28 , 35 , 42 , 49, 56 , 63 , 70 , 77 , 84 ,
The numbers cannot be greater than 84
out of all, only the following is a multiple of 84;
14,21 , 28 , 42 and 84
The correct answers here are 21 and 28
Reason for this is that only the two satisfied the properties given
