Find Numbers  | |  Such that their Sum is 216 & HCF is 27..
[Please Also give solution, not only answer]
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| | | | | | 1.  vijayganesh (350) | 3 years ago |  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.
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 Wulfric (104) | 3 years ago | Good, That's right..
But, there is another possible answer..
Give your method.. | |
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| vijayganesh (350) | 3 years ago | 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. | |
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| Wulfric (104) | 3 years ago | What about 189 & 27..
They also satisfy the condition..!! | |
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| | 2.  srini_the_creator (173) | 3 years ago |  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)
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| | IAU France Study Abroad in smaller cities like Aix-en-Provence and Avignon where Americans are not quite so common a sight, it is easier to meet residents, and to speak French. www.iaufrance.org | add comment |
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