Question

The HCF and LCM of two numbers are 48 and 288 respectively. One of the numbers is 144. Find the other number.​

Answer 1

Answer:

We know that , H.C.F × L.C.M = Product of those two numbers

Now , Let the another number be x .

So,

48 × 288 = 144 × x

or, x = 48 × 288 / 144

or, x = 48 ×2

or, x = 96

Answer 2

Answer:

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Step-by-step explanation:

One number is 144.

Let another number be x.

It is given that HCF and LCM of two numbers are 48 and 288 respectively.

If a and b are two numbers, then

$a \times b = LCM (a,b)\times \: HCF(a,b)\\144\times x=288\times48\\144\times x=13824$

$x = \frac{13824}{144}\\\\x = 96$

Therefore, the another no. is 96