Problema Solution

Find two consecutive positive integers such that the sum of their squares is 421.

Answer provided by our tutors

let 'n' represent the first positive integer, then 'n+1' represents the next consecutive positive integer


421 = n^2 + (n+1)^2

solving for 'n' we have a positive value of n=14


14+1=15


the numbers are 14 and 15