Two whole numbers have a greatest common factor of 8 and a least common multiple of 48. Which of the following pairs of whole numbers will satisfy the given conditions?a)4 and 9b)5 and 10c)10 and 16d)14 and 20e)16 and 24Correct answer is option 'E'. Can you explain this answer?

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Two whole numbers have a greatest common factor of 8 and a least common multiple of 48. Which of the following pairs of whole numbers will satisfy the given conditions?

a)
4 and 9
b)
5 and 10
c)
10 and 16
d)
14 and 20
e)
16 and 24

Correct answer is option 'E'. Can you explain this answer?

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Two whole numbers have a greatest common factor of 8 and a least commo...

You are given that both numbers have a factor of 8 and that they both factor into 48 evenly (48 is the least common multiple). Therefore, the following is true:
48 = 8 x a x b
Because 48 = 8 x 6, a x b must equal 6; a could equal 2 and b could equal 3, which means that one of the given numbers has a factor of 2 and the other has a factor of 3. Both numbers have a common factor of 8, so one number could be 8 x 2 = 16 and the other number could be 8 x 3 = 24.

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Two whole numbers have a greatest common factor of 8 and a least common multiple of 48. Which of the following pairs of whole numbers will satisfy the given conditions?a)4 and 9b)5 and 10c)10 and 16d)14 and 20e)16 and 24Correct answer is option 'E'. Can you explain this answer?

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Two whole numbers have a greatest common factor of 8 and a least common multiple of 48. Which of the following pairs of whole numbers will satisfy the given conditions?a)4 and 9b)5 and 10c)10 and 16d)14 and 20e)16 and 24Correct answer is option 'E'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about Two whole numbers have a greatest common factor of 8 and a least common multiple of 48. Which of the following pairs of whole numbers will satisfy the given conditions?a)4 and 9b)5 and 10c)10 and 16d)14 and 20e)16 and 24Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two whole numbers have a greatest common factor of 8 and a least common multiple of 48. Which of the following pairs of whole numbers will satisfy the given conditions?a)4 and 9b)5 and 10c)10 and 16d)14 and 20e)16 and 24Correct answer is option 'E'. Can you explain this answer?.

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