Question

the lcm of two numbers is 48 and Thier hcf il 8.if one number is 16 ,then the other number is​

Answer 1

Correct Question :

The LCM of two numbers is 48 and their HCF is 8. If one number is 16 then, other number is.

Solution :

Let other number be "M".

We have given that,

• LCM = 48
• HCF = 8
• Product of one number = 16

We know that

Product of two numbers = LCM × HCF

We can also write it like,

One number × Other number = LCM × HCF

Substitute the known values in above formula

$\implies\:16\:\times\:M\:=\:48\:\times\:8$

$\implies\:16M\:=\:384$

$\implies\:M\:=\:\frac{384}{16}$

$\implies\:M\:=\:24$

∴ Other number is 24.

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✯ Verification :

From above calculations we have M = 24

Also, according to question we have LCM = 48, HCF = 8 and one number is 16.

So,

One number × Other number = LCM × HCF

→ 16 × 24 = 48 × 8

→ 384 = 384

Answer 2

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Answer:

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