SOLUTION: Find two consecutive positive odd integers such that the difference of their squares is 64. Please help me solve this problem. Thank you.

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Question 666546: Find two consecutive positive odd integers such that the difference of their squares is 64.
Please help me solve this problem. Thank you.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the integers be x and x+2
%28x%2B2%29%5E2-x%5E2=+64
x%5E2%2B4x%2B4-x%5E2=64
4x%2B4=64
4x=64-4
4x=60
x= 15
the number are 15 and 17