Question

The HCF and LCM of two numbers are 9 and 360 respectively. if one of the number is 45 find the other number.

Answer 1

HCF and LCM are 9 and 360 respectively.
One of the number is 45.
Let the other number be=x
Since we know that,
HCF×LCM=Product of two number
So,
$9 \times 360 = 45 \times x \\ x = \frac{360 \times 9}{45} \\ x = 72$
Hence,the other number is 72

Answer 2

Let the unknown number be x
We have a relation that
( H.C.F of a,b ) ( L.C.M of a,b ) = Product of a,b
where a,b are integers.
Then, according to the given question,
9 × 360 = x × 45
x × 45 = 3240
x = 72.
∴ The unknown number ( x ) = 72.

Hope my answer helps you : )