Subject
Quantitative Aptitude
Topic
LCM & HCF
The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is
The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is
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12Explanation
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). Therefore, Required numbers are ( 33 x 1, 33 x 15), (33 x 3, 33 x 13), (33 x 5, 33 x 11), (33 x 7, 33 x 9) The number of such pairs is 4Related questions
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