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

QUESTION:

The hcf and lcm of two numbers are 12 and 5040 respectively if one of the numbers is 144 find the other number ?

GIVEN:

HCF of two numbers = 12

LCM of two numbers = 5040

one number = 144

let the other number be

$\huge\orange {x}$

FORMULA USED :

$</u><u>\</u><u>huge</u><u>\</u><u>b</u><u>l</u><u>u</u><u>e</u><u> </u><u>{</u><u>product \: of \: two \: numbers = hcf \: \times \: lcm</u><u>}</u><u>$

using the formula;

$12 \times 5040 = 144 \times x \\ 60480 = 144 \times x \\ \frac{60480}{144} = x$

$420 = x$

$\huge\purple {other \: number = 420}$

plz Mark as brainliest

Answer 2

✬ 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

$\implies{\rm }$ x $\times$ 144 = 12 $\times$ 5040

$\implies{\rm }$ 144x = 60480

$\implies{\rm }$ x = 60480/144

$\implies{\rm }$ x = 420

Hence, the other number is x = 420

________________________

★ Verification ★

➟ Product of two numbers = HCF $\times$ LCM

➟ 420 $\times$ 144 = 12 $\times$ 5040

➟ 60,480 = 60,480