Question

the hcf of two number is 12 and their lcm is 672 if one of the number is 96 find the other number. ​

Answer 1

Step-by-step explanation:

the answer is 84 . this this the right answer

Answer 2

Answer ::

The required number is 84.

Step-by-step explanation ::

To Find :-

• The other number

Solution :-

Given that,

• The H.C.F and the L.C.M of two numbers are 12 and 672
• One number is 96

Let us assume the other number as x,

ACCORDING THE QUESTION,

• The other number

As we know that,

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

$\sf{\mapsto \: 96 \times x = 12 \times 672} \\ \\ \sf{\mapsto \: x = \dfrac{12 \times 672}{96}} \\ \\ \sf{\mapsto \: x = \dfrac{8064}{96}} \\ \\ \sf{\mapsto \: x = \cancel{ \dfrac{8064}{96}}} \\ \\ \sf{\mapsto \: x = 84}$

Therefore, required number is 84.

Now, VerificatioN

$\sf{\mapsto \: 96 \times other \: number(x) = 12 \times 672} \\ \\ \sf{\mapsto \: 96 \times 84 = 12 \times 672} \\ \\ \sf{\mapsto \: 8064 = 8064}$

L.H.S = R.H.S

Hence, VerifieD !