Question

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? Justify ur anwsewer

Answer 1

The n two number are n and n+7. The two numbers are relatively prime because 7 is prime and doesn't divide 60. So we get n(n+7)=60. Guess and check tells us the two numbers are 5 and 12.