Question

The H.C.F of two numbers is 16 and L.C.M is 192. If one of the numbers is 32, find the other .​

Answer 1

Given one of the numbers = 32

H.CF = 16
L.C.M = 192

Let other number be x


As we know that,

L.C.M*H.C.F = Product of two numbers

Therefore,

192*16 = 32*x

3072 = 32x

3072/32 = x

96 = x

So, other number is 96

Answer 2

Answer:

96 is the other numbers

Step-by-step explanation:

Explanation:

Given that, HCF of two numbers = 16 and

LCM of two numbers = 192

And one of the numbers = 32

Let x be another number.

Now, as we know, the sum of two numbers' HCF and LCM is the same as the sum of the two numbers themselves.

Step 1:

Now, from the formula,

Product of two numbers = Product of Lcm and HCF

⇒ x × 32 =  192 × 16

⇒ x × 32 = 3072

⇒ x = $\frac{3072}{32}$ = 96

Final answer:

Hence, 96 is the another number.

#SPJ2