Question

1. The LCM of x and 18 is 36
The HCF of x and 18 is 2
Find the number x​

Answer 1

Answer:

LCM(x, 18) = 36 and HCF(x, 18) = 2

 

We know that,

 

LCM(x, 18) × HCF(x, 18) = 36 x 2

→x(18) = 36 × 2

→ x = 72/18 → x = 4

Step-by-step explanation:

Answer 2

Now, the relation between two numbers

'a' and 'b', their LCM and their HCF is

given as

axb LCM(a, b) x HCF(a, b)

That is, product of two numbers =

product of their HCF and LCM

Hence,

x x 18 = 36 x 2

18x 72

X= 72/18

X= 4

Hence, the value of x is 4.