What is the sum of two consecutive odd numbers, the difference of whose squares is 56?
(A) 30
(B) 28
(C) 34
(D) 32
Answer: (B)
Explanation:
Let the no. be x and (x +2). Then (x + 2)2 – x2 = 56 4x + 4 = 56 x + 1 = 14 x = 13 Sum of numbers = x + (x +2) = 28