# Find the Larger of the Two Numbers :

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

- 84
- 12
- 108
- 48

**Answer is (1): 84**

**Explanation:-**

The H.C.F. and L.C.M of two numbers = 21 and 84

The ratio of two numbers = 1: 4

Let the two numbers be = X and 4 X

Then, X x 4 X = 21 x 84

4 X^2 = 1764

X^2 = 1764/4

X^2 = 441

square root on both side,

X = 21

Then, the large number = 4 X = 4 x 21 = 84

Hence, the answer is (1) 84.