The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers?

Step One - List the factors of 60. Step Two - Locate the factors that are seven apart from each other.
Factors of 60: 1 × 60 2 × 30 3 × 20 4 × 15 5 × 12 6 × 10
60 - 1 = 59 30 - 2 = 28 20 - 3 = 17 15 - 4 = 11 12 - 5 = 7 10 - 6 = 4
5 is 7 less than 12, and 60 is their least common multiple.
Answer: **5 **and **12 **

Answered by iloveonedirection | 2024-06-10

The two numbers whose least common multiple is 60 and are 7 apart are 5 and 12. These numbers fit the provided conditions perfectly. Therefore, the answer is 5 and 12.
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Answered by iloveonedirection | 2024-12-22