If the LCM of two numbers is 180 and their HCF is 15, what is the sum of the two numbers? (2023)

Practice Questions

1 question
Q1
If the LCM of two numbers is 180 and their HCF is 15, what is the sum of the two numbers? (2023)
  1. 75
  2. 90
  3. 105
  4. 120

Questions & Step-by-step Solutions

1 item
Q
Q: If the LCM of two numbers is 180 and their HCF is 15, what is the sum of the two numbers? (2023)
Solution: Let the two numbers be 15a and 15b. Then, LCM = 15ab = 180, so ab = 12. The pairs (3, 4) give the numbers 45 and 60, summing to 105.
Steps: 0

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