The highest common factor (HCF) of 140 and x is 20

The lowest common multiple (LCM) of 140 and x is 420

Find the value of x

x=60

Step-by-step explanation:

Given that,

HCF of 140 and x=20,

LCM of 140 and x = 420.

Solution:

It is known that the product of two numbers is equal to the product of their HCF and LCM, i-e:

140*x = HCF*LCM

Putting in the values provided,

140*x=20*420

140*x=8400

x=8400/140

x=60

Hence the variable x is 60.