Problema Solution

Find the largest of three odd integers such that the sum of the first two integers is five more than the third integer.

Answer provided by our tutors

we assume these are consecutive odd integers, otherwise there is not enough information to solve this problem


let '2n+1' represent the first odd integer, then '2n+3' and '2n+5' represents the next two consecutive odd integers


the sum of the first two integers is five more than the third integer:

(2n+1)+(2n+3) = (2n+5) + 5

4n + 4 = 2n + 10

2n = 6

n = 3


2*3+1 = 7


the integers are 7, 9 and 11