Question

The difference of squares of two consecutive numbers is 61. What will be the sum of these
numbers ?
[IOM 2017]
(A) 81
(B) 41
(C) 61
(D) 51​

Answer 1

Answer:

Using the Formula

(n / 2)(first number + last number) = sum, where n is the number of integers

Answer 2

$\dashrightarrow$ We are given that the sum of the squares of two consecutive numbers is equal to 61. Let the numbers be x and x+1. Therefore the numbers can be 5 and 6 or -6 and -5. The required result is (5, 6) and (-6,-5).