Question

Hcf of two numbers is equal to12, if sum of two numbers is equal to 72 .How many pairs of these numbers are possible

Answer 1

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Answer: The two numbers are 36 and 24.

Step-by-step explanation:

Let the two numbers be x and y.

We know that.. product of two numbers = HCFx LCM.

Therefore XY= 12 x 72= 864….(1)

According to given condition, their sum is 60

Therefore x+y = 60……….(2)

We know that

(x-y)² =(x+y)² -4xy

Substitute values from 1 & 2

(X-y)² = 3600–4x864=144

X-Y =√144= 12…(3)

By solving 2 and 3

We get x=36 and y=24

Hope it helps u.