Discussion Forum

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 :

Answer:

Explanation:

Let the required numbers be 33x and 33y.

Then 33x +33y= 528   

=> x+y = 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.