Final answer:
To find the other number when the LCM is 120, the HCF is 12, and one of the numbers is 24, use the formula LCM × HCF = a × b, which gives us the other number as 60.
Step-by-step explanation:
To find the other number when you know the Least Common Multiple (LCM) and the Highest Common Factor (HCF) of two numbers, and one of the numbers, you can use the relationship between LCM and HCF for any two numbers a and b: LCM(a, b) × HCF(a, b) = a × b. In this case, the numbers are 24 and the unknown number that we need to find.
Given the LCM is 120 and the HCF is 12, we can plug in the values into the relationship and solve for the other number:
LCM × HCF = 24 × Other number
120 × 12 = 24 × Other number
Other number = (120 × 12) / 24
Other number = 1440 / 24
Other number = 60
Therefore, the other number, when one number is 24 and the LCM and HCF are 120 and 12 respectively, is 60.
Complete question is:
The LCM and HCF of two numbers are 120 and 12 respectively . If one of the numbers is 24 . find the other number