Question

the HCF and LCM of two numbers are 12 and 5040 , respectively . if one of the numbers is 144 , find the other number?​

Answer 1

✬ Other Number = 420 ✬

Step-by-step explanation:

Given:

HCF and LCM of two numbers are 12 and 5040.

One number is 144.

To Find:

What is other number ?

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 \times× 144 = 12 \times× 5040

⟹ 144x = 60480

⟹ x = 60480/144

⟹ x = 420

Hence, the other number is x = 420

________________________

★ Verification ★

➟ Product of two numbers = HCF \times× LCM

➟ 420 × 144 = 12 × 5040

➟ 60,480 = 60,480

Answer 2

✬ Other Number = 420 ✬

$\huge\bf\red{Solution:}$

Given:

HCF and LCM of two numbers are 12 and 5040.

One number is 144.

To Find:

What is other number ?

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