Question

LCM of two numbers is 60 and their ratio is 2 : 3. Find the smaller number. ​

Answer 1

Answer:

The smaller number among the two numbers is 20.

Step-by-step explanation:

Assumption,

Let the two numbers be x and y.

Given,

L.C.M of two numbers x and y are 60.

And their ratio x: y = 2: 3

To find,

The smaller number among the two numbers x and y.

Calculation,

If 'a' is the common difference between the two numbers then:

x = 2a and y = 3a

But as L.C.M of x and y are 60 but also L.C.M of x = 2a and y = 3a is 6a

Hence, 6a = 60

⇒ a = 10

Hence, the two numbers x and y are 20 and 30 respectively.

Therefore, the smaller number among the two numbers is 20.

#SPJ3