Problem: 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
Rationale: "let the required numbers be 33 a and 33 b . then 33 a + 33 b = 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 answer : a"
annotated_formula: multiply(divide(add(528, 33), add(const_1, const_1)), subtract(divide(add(528, 33), add(const_1, const_1)), 33))