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? Ju

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3 years ago

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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? Ju

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Mathematics

1 answer:

Korvikt [17] · Answer 1 · 2022-05-16T17:47:56+03:00

Korvikt [17]3 years ago

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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.