Question
The HCF of two numbers is 33 and their sum is 594. Find
the total number of such possible pairs of numbers.Solution
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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