The sum of two numbers is 528 and their H.C.F is 33.The number of pairs of numbers satisfying the above conditions is: Pick one.
A) 4 B) 6 C) 8 D) 12 E) none of these
Let the required numbers be 33a and 33b.Then,33a+33b=528,   a+b=16.   now, co-primes with sum 16 are (1,15), (3,13), (5,11)and(7,9);   required numbers are (33*1,33*15), (33*3,33*13), (33*5,33*11), (33*7, 33*9).   The number of such pairs is 4.   Correct Options:4
<result>A</result>
The sum of two numbers is 528 and their H.C.F is 33.The number of pairs of numbers satisfying the above conditions is: