The HCF of two numbers is 33 and their sum is 594. Find the total number of such possible pairs of numbers.
Let the two numbers be 33a and 33b (33 is the H.C.F.) 33a +33b = 594 33(a + b) = 594 a+b = 594/33 a+b=18 Now, a and b must be co-primes Pairs = (1, 17), (5, 13), and (7, 11) Number of pairs are 3
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