Q. The HCF of two numbers is 15 and their LCM is 225. If one of the numbers is 75, then find the another number.
✅ Correct Answer: (D)
45
Explanation: Let the other number = N
Product of LCM and HCF = Product of two numbers
Then, N x 75 = 15 x 225
∴ N = (15 x 225)/75 = 45
Product of LCM and HCF = Product of two numbers
Then, N x 75 = 15 x 225
∴ N = (15 x 225)/75 = 45
Explanation by: Mahesh Chandra
Let the other number = N
Product of LCM and HCF = Product of two numbers
Then, N x 75 = 15 x 225
∴ N = (15 x 225)/75 = 45
Product of LCM and HCF = Product of two numbers
Then, N x 75 = 15 x 225
∴ N = (15 x 225)/75 = 45