The sum of two numbers is 216 and their H.C.F. is 27. The number are:	Choose the correct choice from the following options:	A) 27, 189	B) 81,189,	C) 108, 108	D) 154, 162	E) none of these
Let the required numbers be 27a and 27b.Then, 27a+27b=216   a+b=8   Now, co-primes with sum 8 are(1, 7)and(3,5).   required numbers are (27*1*, 27*7) and (27*3,27*5)   i.e., (27, 189)and (81,135)   out of these, the given one in the answer is the pair(27,189).   correct Option:27, 189
<result>A</result>
The sum of two numbers is 216 and their H.C.F. is 27. The number are: