# Find Numbers

By Wulfric

@Wulfric (160)

India

2 responses

@vijayganesh (845)

• India

20 Jan 07

According to my calculations,
the numbers are 135 and 81.
135 + 81 = 216.
As
LCM of 135 is 27, 5, 1.
LCM of 081 is 27, 3. 1.
Hence HCF is 27.
Thats it.
Is it correct.
Thanks.

3 people like this

@vijayganesh (845)

• India

27 Jan 07

First, I saw the table of 27.
Its Obvious that each number must be a multiple of 27, as 27 is the HCF.
Then there comes out only two numbers that is 135 and 81, whose sum is 216 and HCF is 27.
This is my method for the solution.
Thanks, have a nice day.
Bye.

@srini_the_creator (196)

• India

26 Jun 07

Let the Numbers be X and Y
Since 27 is the H.C.F of those numbers so
X = 27*a and Y = 27*b ; Now a and b have no common factors
Given Sum of Number is 216
= X + Y = 216
=27*a + 27*b = 216
= a + b = 8
Now possible values of a n b are (1,7) & (3,5)
So the possible Numbers are (27,189) & (81,135)