The LCM of two numbers is 84 and their HCF is 12. What are the two numbers? (2023)
Practice Questions
1 question
Q1
The LCM of two numbers is 84 and their HCF is 12. What are the two numbers? (2023)
24 and 42
12 and 84
28 and 36
21 and 48
Let the two numbers be 12x and 12y. Then, LCM(12x, 12y) = 12 * LCM(x, y) = 84, which gives LCM(x, y) = 7. The pairs (x, y) that satisfy this are (3, 4) or (4, 3), leading to 24 and 42.
Questions & Step-by-step Solutions
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Q
Q: The LCM of two numbers is 84 and their HCF is 12. What are the two numbers? (2023)
Solution: Let the two numbers be 12x and 12y. Then, LCM(12x, 12y) = 12 * LCM(x, y) = 84, which gives LCM(x, y) = 7. The pairs (x, y) that satisfy this are (3, 4) or (4, 3), leading to 24 and 42.
