Question

The HCF and LCM of the two numbers are 20 and 120, respectively. If one of the numbers is 60, find the another number.

Answer 1

One Number is 60

Another number is 40

Step-by-step explanation:

*FACT*

Two number's H.C.F × L.C.M = Two number's product

Let's assume another number as X

so, 20 × 120 = 60 × X

or, 2400= 60X

or, X = 2400÷60

so, X= 40

Another number is 40

Answer 2

Answer:

The other number was 40.

So, the numbers were 40 and 60.

Step-by-step explanation:

We have,

HCF = 20

LCM = 120

Now, we must know that,

Product of two numbers = Product of their HCF and LCM

Let the numbers be a and b

Then,

a × b = 20 × 120

ab = 2400

But we are given that,

One of the numbers = 60

Then,

Let a = 60

So,

60 × b = 2400

b = 2400/60

b = 40

Hence,

The other number was 40.

Hope it helped you and believing you understood it...All the best