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 ✬

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

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 \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 ✬

Other Number = 420 ✬\huge\bf\red{Solution:}Solution:

Other Number = 420 ✬\huge\bf\red{Solution:}Solution:Given:

Other Number = 420 ✬\huge\bf\red{Solution:}Solution:Given:HCF and LCM of two numbers are 12 and 5040.

Other Number = 420 ✬\huge\bf\red{Solution:}Solution:Given:HCF and LCM of two numbers are 12 and 5040.One number is 144.

Other Number = 420 ✬\huge\bf\red{Solution:}Solution:Given:HCF and LCM of two numbers are 12 and 5040.One number is 144.To Find:

Other Number = 420 ✬\huge\bf\red{Solution:}Solution:Given:HCF and LCM of two numbers are 12 and 5040.One number is 144.To Find:What is other number ?

Other Number = 420 ✬\huge\bf\red{Solution:}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.

Other Number = 420 ✬\huge\bf\red{Solution:}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

Other Number = 420 ✬\huge\bf\red{Solution:}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) ★

Other Number = 420 ✬\huge\bf\red{Solution:}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

Other Number = 420 ✬\huge\bf\red{Solution:}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/qHCF = 12

LCM = 5040

LCM = 5040One number = x

LCM = 5040One number = x⟹ x \times× 144 = 12 \times× 5040

LCM = 5040One number = x⟹ x \times× 144 = 12 \times× 5040⟹ 144x = 60480

LCM = 5040One number = x⟹ x \times× 144 = 12 \times× 5040⟹ 144x = 60480⟹ x = 60480/144

LCM = 5040One number = x⟹ x \times× 144 = 12 \times× 5040⟹ 144x = 60480⟹ x = 60480/144⟹ x = 420

LCM = 5040One number = x⟹ x \times× 144 = 12 \times× 5040⟹ 144x = 60480⟹ x = 60480/144⟹ x = 420Hence, the other number is x = 420

LCM = 5040One number = x⟹ x \times× 144 = 12 \times× 5040⟹ 144x = 60480⟹ x = 60480/144⟹ x = 420Hence, the other number is x = 420________________________

LCM = 5040One number = x⟹ x \times× 144 = 12 \times× 5040⟹ 144x = 60480⟹ x = 60480/144⟹ x = 420Hence, the other number is x = 420________________________★ Verification ★

LCM = 5040One number = x⟹ x \times× 144 = 12 \times× 5040⟹ 144x = 60480⟹ x = 60480/144⟹ x = 420Hence, the other number is x = 420________________________★ Verification ★➟ Product of two numbers = HCF \times× LCM

LCM = 5040One number = x⟹ x \times× 144 = 12 \times× 5040⟹ 144x = 60480⟹ x = 60480/144⟹ x = 420Hence, the other number is x = 420________________________★ Verification ★➟ Product of two numbers = HCF \times× LCM➟ 420 × 144 = 12 × 5040

LCM = 5040One number = x⟹ x \times× 144 = 12 \times× 5040⟹ 144x = 60480⟹ x = 60480/144⟹ x = 420Hence, the other number is x = 420________________________★ Verification ★➟ Product of two numbers = HCF \times× LCM➟ 420 × 144 = 12 × 5040➟ 60,480 = 60,480

Hope it helps uh.