Question

The product of the HCF and LCM of two numbers is 1152.If one number is 48.Find

the other one.​

Answer 1

Given :-

• The product of the HCF and LCM of two numbers is 1152.If one number is 48.

To find :-

• Other number

Solution :-

• Product of the HCF and LCM of two numbers = 1152

• One of number = 48

As we know that

→ LCM × HCF = Product of two numbers

→ LCM × HCF = a × b

Where " a " is first number and " b " is second number.

According to the given condition

→ LCM × HCF = a × b

→ 1152 = 48 × b

→ b = 1152/48

→ b = 24

Hence,

• Other number is 24

Verification :-

• LCM × HCF = a × b

→ 1152 = 48 × 24

→ 1152 = 1152

• Therefore verified

Answer 2

Given Information :-

• Product Of HCF and LCM = 1152.

• One Number = 48.

To Find :-

• Other Number.

Solution :-

☯️ Let,

Other Number be x.

We know that,

LCM × HCF = Product Of Numbers.

➭ 1152 = 48 × x.

➭ 48x = 1152.

➭ x = 1152/48.

➭ x = 24.

Hence,

• Other Number = x = 24.