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