Question

Express the following number as the sum of two consecutive integers 225

Answer 1

112 + 113 = 225

Explanation:

consecutive integers have a difference of 1 between them

let the integers be n and n + 1 , then

n + n + 1 = 225 ( simplify left side )

2n + 1 = 225 ( subtract 1 from both sides )

2n + 1 - 1 = 225 - 1 , that is

2n = 224 ( divide both sides by 2 )

n = 112

n + 1 = 112 + 1 = 113

the sum of the two consecutive integers is 112 + 113 = 225