2023 · Q13
Let L be the LCM and H be the HCF of two given numbers. L and H are in the ratio 3 : 2. If the sum of the two numbers is 45, then what is the product of the numbers?
Elementary MathematicsHCF and LCM
- A243
- B486
- C504
- DCannot be determined due to insufficient data
Explanation
HCF always divides LCM, so LCM/HCF must be an integer. 3:2 is not integral, so no such pair exists; the product cannot be determined. Option (d).