Question 115

The ratio of two numbers is 3 : 4 and their LCM is 180. The second number is

Solution

As the numbers are in the ratio 3:4

so assume the numbers are 3z and 4z

LCM of 3z and 4z = 12z

it is given that LCM of the above two numbers are = 180

So, 12z = 180

z = 15

and hence 2nd number = 4z = 4 x 15 = 60

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