Question

The LCM and HCF of two numbers are 21 and 84 respectively. If the ratio of the two numbers is 1 : 4 then the larger of the two numbers is :

• A. 12
• B. 108
• C. 48
• D. 84

Answer 1

Answer:

D. 84

N1 : N2 = 1 : 4 = 1x : 4x We know LCM × HCF = product of numbers 84 × 21 = N1 × N2 84 × 21 = x × 4x 84 × 21 = 4x² x² = 21 × 21 x = 21 4x = 84 larger number = 84