Question

Exercise 3F..
1 The LCM of a pair of numbers is 4 and their sum is 6. What are the numbers.​

Answer 1

Answer:

The prime factorization of 4 is 2*2. So the original numbers can only be powers of 2. (If they weren’t powers of 2, then there would be some prime factor other than 2 in the LCM)

There are only two powers of two that can be added to give 6: 2 + 4. The prime factorization of 2 is 2 (since 2 is prime) and the prime factorization of 4 is 2*2, and the LCM of 2 and 4 is 2*2, or 4. 2 and 4 are your numbers.

Step-by-step explanation:

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