Question

The HCF and LCM of two numbers are 9 and 360 respectively. If one
mumber is 72 find the other number​

Answer 1

Answer:

the other number is 45

Step-by-step explanation:

we know that L.C.M×H.C.F= 72×other number

360×9=72×y

therefore y=360×9/72

hence the other number is 45

Answer 2

Answer:

Step-by-step explanation:

Given,

HCF of the two numbers = 9

LCM of the two numbers = 360

One number = 72

To Find,

Another number.

Formula to be used,

HCF × LCM = Product of the two numbers.

Solution,

let the other number be x.

We know that,

HCF × LCM = Product of the two numbers.

Putting all the values, we get

⇒ 9 × 360 = 72 × x

⇒ x = 9 × 360/72

⇒ x = 360/8

⇒ x = 45

Hence, the other number is 45.