# How To Solve Age Word Problems

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Age questions are a sub-type of word problems and thus require the approach you should take toward all word problems: identify unknowns, assign variables, create algebraic relationships, and solve. In most age questions, you will be given information about the people’s ages at some earlier or later point.Erfun is a professional GRE tutor, based in New York City.He achieved a perfect score on the GRE, he is the author of Mc Graw-Hill's 2017 Premium Guide to the GRE, and he has over 10,000 hours of tutoring experience.When doing any word problem, it’s essential that you track the variables that you’ve assigned and how they change with each new piece of information.Erfun Geula is a professional GMAT and GRE tutor, based in New York City.The problems here only involve one variable; later we’ll work on some that involve more than one.Doing word problems is almost like learning a new language like Spanish or French; you can basically translate word-for-word from English to Math, and here are some translations: Note that most of these word problems can also be solved with Algebraic Linear Systems, here in the Systems of Linear Equations section.Now we have 6 test grades that will count towards our semester grade: 4 regular tests and 2 test grades that will be what you get on the final (since it counts twice, we need to add it HINT: For any problem with weighted averages, you can multiply each value by the weight in the numerator, and then divide by the sum of all the weights that you’ve used.For example, if you had test 1 (say, an of your grade, you will take the weighted average as in the formula below.The problem is asking for both the numbers, so we can make “$$n$$” the smaller number, and “$$18-n$$” the larger.$$\begin2n-3\,\,\,=\,\,18-n\\underline\3n\,-3\,\,=\,\,\,18\\underline\\,\,3n\,\,\,\,\,\,\,\,\,\,=\,\,\,21\\,\frac\,\,\,\,\,\,\,\,\,\,\,=\,\,\frac\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,n=7\,\,\,\,\,\,\text\\,\,\,18-7=11\,\,\,\,\text\end$$ Solution: We always have to define a variable, and we can look at what they are asking.

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