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 :
Choose the correct choice from the following options:
A) 4  B) 6  C) 8  D) 12  E) 15
Explanation:   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).   âˆ´   Required numbers are   (33 * 1, 33 * 15), (33 * 3, 33 * 13), (33 * 5, 33 * 11),(33 x 7, 33 x 9).   The number of such pairs is 4.   4NSWER IS 4
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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 :