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

A. 48

B. 12

C. 84

D. 108

Answer: Option C

Solution(By Examveda Team)

We know,
LCM × HCF = 1st number × 2nd number
Let 1st number = K
2nd number = 4K
K × 4K = 21 × 84
K = 21
Then number = 21, 84
So, larger number = 84

This Question Belongs to Arithmetic Ability >> Problems On H.C.F And L.C.M

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