The highest common factor of two whole numbers is 20. The lowest common multiple of these two whole numbers is 200. If the sum of these two whole numbers is 140, what is the difference of these two whole numbers?
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Step-by-step explanation:
Two whole numbers have a LCM of 60.
Each number is less than or equal to 12.
The GCF of the two numbers is 2.
What are these two numbers?
Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Our answers are in there, not greater than 12, and even numbers, so:
2, 4, 6, 10, 12
So let’s check the LCMs:
All of them are multiples of 2.
12 is a multiple of both 4 and 6.
4 and 10 share 20 as a multiple.
6 and 10 share 30.
That leaves 10 and 12 as
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