Question

The sum of two numbers is 528 and their H.C.F is 33. Find the number of pairs of such
numbers satisfying the above condition.​

Answer 1

Answer:

Let the required number is 33a and 33b

then 33a+33b=528

=>(a+b)=33528=16

no. of pairs with sum 16 are (1,15),(3,13),(5,11),(7,9)

therefore there are 4 pairs which are 

(33×1,33×15)

(33×3,33×13)

(33×5,33×11)

(33×7,33×9)