C. 55 and 60
Feedback Numbers are in the ratio 11 : 12
Two numbers are 11k and 12k
Adding 14 to both the numbers, 11k+14 and 12k+14
Given that 11k+14 : 12k+14 = 69 : 74 => 74(11k+14) = 69(12k+14) => (814-828)k = 14 x (-5) => k = 5
First Number, 11 x k = 55 Second Number 12 x k = 60
Numbers are 55 and 60