Question

The h.C.F and l.C.M. 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: select one: a. 48 b. 84 c. 108 d. 12

Answer 1

Let the numbers be x,4x.

given,

HCF=21

LCM=84

We know that , LCM × HCF=1st number × 2nd number

84×21=x×4x

1764=4x^2

1764/4=x^2

441=x^2

x=21

therefore one number is 21 and other is 84(21×4).