Question

Two numbers have their HCF as 8 and LCM as 96. If one of the numbers is 24, Find the other number

Answer 1

Answer:

x=32

Step-by-step explanation:

product of two numbers =LCM×HCF

let other number be x

24×x=96×8

$x = \frac{96 \times 8}{24} \\ \\ x = 4 \times 8 \\ \\ x = 32$

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Answer 2

To Find

The other number

Step-by-step Explanation

Given

Two numbers have their HCF as 8 and LCM as 96.

One of the numbers is 24.

Let us consider the other number as x.

It's known that,

LCM × HCF = Product of two numbers.

⟹ 8 × 96 = 24 × x

⟹ 768 = 24x

⟹ 768/24 = x

⟹ 32 = x

The required number is 32.

Now, Let's verify!!!

• 8 × 96 = 24 × x

Putting the value of x.

⟹ 8 × 96 = 24 × x

⟹ 8 × 96 = 24 × 32

⟹ 768 = 768

Verified...

⟹ 768 = 24x