May 28th, 2015
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Algebra: Age Word ProblemsAge problems are algebra word problems that deal with the ages of people currently, in the past or in the future. If the problem involves a single person, then it is similar to an Integer Problem. Read the problem carefully to determine the relationship between the numbers. This is shown in the example involving a single person.If the age problem involves the ages of two or more people then using a table would be a good idea. A table will help you to organize the information and to write the equations. This is shown in the age problems: examples involving more than one person. Example 1:Five years ago, Johns age was half of the age he will be in 8 years. How old is he now?Solution: Step 1: Let x be Johns age now. Look at the question and put the relevant expressions above it.Step 2: Write out the equation.Isolate variable x Answer: John is now 18 years old.Example 2:John is twice as old as his friend Peter. Peter is 5 years older than Alice. In 5 years, John will be three times as old as Alice. How old is Peter now?Solution: Step 1: Set up a table.age now age in 5 yrs JohnPeterAliceStep 2: Fill in the table with information given in the question.John is twice as old as his friend Peter. Peter is 5 years older than Alice. In 5 years, John will be three times as old as Alice. How old is Peter now?Let x be Peters age now. Add 5 to get the ages in 5 yrs. age now age in 5 yrs John2x 2x + 5

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