There are four consecutive integers such that product of the first and third integers is 161 less than the product of the second and fourth integers. What are the four consecutive integers?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.7: Problem Solving: Consecutive Integers
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This problem is from a 1915 algebra textbook that my grandmother in law had when she took algebra in highschool. There are four consecutive integers such that product of the first and third integers is 161 less than the product of the second and fourth integers. What are the four consecutive integers? 

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