Question

If the HCF and LCM of two numbers are 12 and 180 and one of the numbers is 36
ben find the other number​

Answer 1

Other Number = 60

Step-by-step explanation:

Given:

• HCF of two numbers is 12.
• LCM of two numbers is 180.
• One number is 36.

To Find:

• What is the other number ?

Solution: For two numbers a and b , we know that

(a × b) = {HCF(a , b) × {LCM(a , b)

or

Product of two numbers = HCF × LCM

Let the other number be b. Then we have

• One number = 36
• Another number = b

$\implies{\rm }$ 36 × b = 12 × 180

$\implies{\rm }$ 36b = 2160

$\implies{\rm }$ b = 2160/36

$\implies{\rm }$ b = 60

Hence, the other number is 60.

[ Verification ]

a × b = LCM × HCF

36 × 60 = 180 × 12

2160 = 2160

$\large\bold{\texttt {Verified }}$

Answer 2

⚜ GIVEN :-

• HCF and LCM of Two Numbers are 12 and 180 respectively.

• One of the Number = 36.

⚜ TO FIND :-

• Other Number.

⚜ SOLUTION :-

Let the Other Number be n.

We know that,

Product Of Numbers = HCF × LCM

So, Put the values.

➝ 36 × n = 12 × 180.

➝ 36n = 2160.

➝ n = 2160/36.

➝ n = 60

✮ Hence, Other Number = 60 ✮