Question

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

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Answer 1

Answer:

$96$

Step-by-step explanation:

$other \: number = \frac{48 \times 288}{144} = 48 \times 2 = 96$

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

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

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

Therefore, the another no. is 96