Question

if hcf and lcm of two numbers are 504 and 18 respectively. if one number is 126 find the other number

Answer 1

LCM*HCF=PRODUCT OF TWO NUMBERS
504*18=126*?
?=72

Answer 2

Given:

LCM = 504

HCF = 18

One number = 126

To Find :

The other number.

Solution:

Let the other number be X

As we know :

★ Product of two numbers = LCM x HCF

According to the question:

=> X x 126 = 504 x 18

=> 126N = 9072

=> x = 9072/126

=> x = 72

The other number = 72

______________________

Verification:

Product of two numbers = LCM x HCF

→ 72 x 126 = 504 x 18

→ 9072 = 9072

Hence, The other number = 72

Our answer is correct.