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
Choose the most appropriate option
A) 4	B) 5	C) 6	D) 7	E) 8
Let the required numbers be 33a and 33b.   Then 33a +33b= 528 \inline \fn_jvn \Rightarrow a+b = 16.   Now, co-primes with sum 16 are (1,15) , (3,13) , (5,11) and (7,9).   \inline \fn_jvn \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   4nswer: 4
<result>A</result>
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