Question

The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is

Answer 1

let the two numbers be x and 4x.

then,

HCF x LCM = product

4x^2 = 84*21

x^2 = 84*21/4 = 21 * 21

x = √21*21 = 21

so the two numbers are 21 and 21*4=84

Answer 2

Step-by-step explanation:

let these nos. be '1a' and '4a'

HCF× LCM = product of nos.

84×21 = 1a ×4a

1764 = 4a

a = 1764/4

a= 441