Question

The LCM and Hcf of two numbers are 12 and 240. if one of the numbers is 48 , find the other number

Answer 1

hey

The other no. is 60
use formula a x b = LCM(a,b) x HCF (a,b).

Answer 2

Answer:

The required number =60

Step-by-step explanation:

Given,

LCM  and HCF of two numbers are 240 and 12

One of the two numbers = 48

To find,

The other number

Recall the formula:

LCM × HCF  =  Product of the two numbers

Solution:

Let the second number be 'x'

LCM × HCF = 240 × 12 = 2880

Product of the two numbers = 48x

Substituting the values in the formula we get,

LCM × HCF  =  Product of the two numbers

2880 = 48x

x = $\frac{2880}{48}$ = 60

∴ The second number = 60

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