Question

The ratio between two numbers is 3:4 and their lcm is 180. the first number is :

Answer 1

Solution:

180/3 , 180/4

60, 45

first number is ..... 45

Answer 2

Given that the nos. are in ratio 3:4
LCM :- 180

Solution :- Let the no. be x

First no. 3x
Second no. 4x

then , HCF = x

( HCF is highest common factor in the both and since both are divisible by x hence the HCF is x )

• HCF × LCM = Product of two nos.

x × 180 = 3x × 4x

x = 3x × 4x / 180

x = x² / 15

15x = x²

15 = x

First no. :- 3x = 45

Second no. :- 4x = 60