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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 :

A12

B108

C48

D84

Answer:

D. 84

Read Explanation:

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


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