Math, asked by nitikat416, 27 days ago

given that hcf (16,x)=8 and lcm (16,x) =48 find the value of x​

Answers

Answered by Aryan0123
10

Answer:

x = 24

Step-by-step explanation:

Given:

  • 2 numbers are 16, x
  • HCF of these 2 numbers = 8
  • LCM of these 2 numbers = 48

To find:

Value of x = ?

Solution:

For solving this question, we apply a very important identity in Arithmetic which states that:

HCF × LCM = Product of 2 numbers

Substitute the given values in the above identity

⇒ 8 × 48 = 16x

⇒ 16x = 384

⇒ x = 384 ÷ 16

⇒ x = 24

∴ The value of x = 24

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