Question

Q21. The HCF and LCM of two numbers are 12 and 504 respectively. If one of the numbers is 144, find the other.

Answer 1

Answer:

The other number is 42

Step-by-step explanation:

Let the other number be X

HCF×LCM=Product of the numbers

12×504=144×X

X=42

Answer 2

Answer:

$420$

Step-by-step explanation:

Solution:

Let the other number be x.

As we know that

★ Product of two numbers = (HCF)(LCM) ★

A/q

HCF = 12

LCM = 5040

One number = x

⟹ x × 144 = 12 × 5040

⟹ 144x = 60480

⟹ x = 60480/144

⟹ x = 420

Hence, the other number is x = 420

________________________

★ Verification ★

➟ Product of two numbers = HCF × LCM

➟ 420 × 144 = 12 × 5040

➟ 60,480 = 60,480