Question

the sum of two numbers is 528 and their hcf is3 3 find the numbers of such paiirs

Answer 1

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).

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