Question

The LCM of two numbers is 4 times its HCF the sum of LCM and HCF is 125. If one of the number is 100 find the other number

• A. 5
• B. 25
• C. 100
• D. 125

Answer 1

Answer:

B. 25

Let the numbers be N1, N2 We have N1 = 100 LCM = 4HCF LCM + HCF = 125 4HCF + HCF = 125 5HCF = 125 HCF = 125/5 = 25 LCM = 4HCF = 4 × 25 = 100 We know LCM × HCF = product of numbers 100 ×25 = 100 × N2 N2 = 25