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:	Choices:
A) 4	B) 5	C) 6	D) 6	E) 1
Let the required numbers be 33a and 33b.   Then, 33a + 33b = 528 =&gt; 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.   4nswer: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: