Thread: word problem

1. word problem

Find three consecutive odd integers such that the sum of the squares of the first two is 15 less than the square of the third.

2. Originally Posted by andrewpark2
Find three consecutive odd integers such that the sum of the squares of the first two is 15 less than the square of the third.
let n be the first odd integer, then n + 2 is the next, and n + 4 is the last,

we want, $n^2 + (n + 2)^2 = (n + 4)^2 - 15$

now solve for n and you can find the integers