Question

The hcf and lcm of two number is 12 and 72 respectively if the sum of these two number is 60 then find the another number

Answer 1

❏ ANSWER:-

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)? =(x+y)2 -4xy

Substitute values from 1 & 2

(X-y)2 = 3600-4x864=144

X-Y =v144= 12...(3)

By solving 2 and 3

We get x=36 and y=24........ THANKU

❏ REQUEST:-

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