Eric works as a manager with an international hotel. eric has a son who is 30 years younger than him. the product of their ages is 175 years. how old is eric?

ANSWER

Eric is


EXPLANATION

Let Eric's age be


Then his son age will be,



The product of their ages is 175.

This implies that,



We expand to get,



We equate everything to zero to obtain,



We split the middle term to get,



We factor to obtain,



We factor further to get,



This implies that,



Since age is not negative,



Therefore Eric is