Sawaal
129
Q:

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

A) 4 B) 6
C) 8 D) 12

Answer:   A) 4



Explanation:

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 4

Subject: HCF and LCM
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