Question

the hcf and lcm of two number are 9 and 360 respectively, if one of the number is 45, find the other number.

Answer 1

hcf*lcm=product of two numbers
9*360=45*?
?=72

Answer 2

✬ Other Number = 72 ✬

Step-by-step explanation:

Given:

• HCF is 9
• LCM is 360.
• One number is 45.

To Find:

• What is other number ?

Solution: Let the other number be x.

As we know that

★ HCF $\times$ LCM = Product of two numbers ★

A/q

$\implies{\rm }$ 9 $\times$ 360 = 45 $\times$ x

$\implies{\rm }$ 3240 = 45x

$\implies{\rm }$ 3240/45 = x

$\implies{\rm }$ 72 = x

Hence, the other number is 72.

_____________________

★ Verification ★

=> 9(360) = 45(72)

=> 3240 = 3240

$\large\boxed{\texttt{Verified}}$