# How To Solve Age Word Problems

We will see later that this is like a Slope that we’ll learn about in the Coordinate System and Graphing Lines including Inequalities section.

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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.

I like to set up these types of problems as proportions, but what we’re looking for is actually a rate of minutes to photos, or how many minutes to print 1 photo.

Remember that rate is “how many $$y$$” to “one $$x$$”, or in our case, how many “$$m$$” to one “$$p$$”.

The problems here only involve one variable; later we’ll work on some that involve more than one.

## How To Solve Age Word Problems

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.Probably the most common is to set up a proportion like we did here earlier. There’s another common way to handle these types of problems, but this way can be a little trickier since the variable in the equation is not what the problem is asking for; we will make the variable a “multiplier” for the ratio.The advantage to this way is we don’t have to use fractions. We can find out how much of ingredients a and b are in solution X by using a ratio multiplier again (one ounce of solution X contains ingredients a and b in a ratio of Let $$x=$$ what you need to make on the final.The problem is asking for a number, so let’s make that $$n$$.Now let’s try to translate word-for-word, and remember that the “opposite” of a number just means to make it negative if it’s positive or positive if it’s negative.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.He has a perfect GRE score and multiple 99th-percentile GMAT scores.HIs upcoming book, Mc Graw Hill's 2015 Premium Guide to the GRE, will be in bookstores in May.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.

## Comments How To Solve Age Word Problems

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