Question

Kenny is thinking of two numbers greater than 10.

Answer 1

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