# Problem Solving Using Equations We must substitute into Brian's equation to determine his current age. Therefore, Brian must be 18 years old (2c = 2 x 9).To check our answer, we must substitute into the original equation to verify that the left side of the equation equals the right side.

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Let's try θ = 30°: sin(−30°) = −0.5 and −sin(30°) = −0.5 So it is true for θ = 30° Let's try θ = 90°: sin(−90°) = −1 and −sin(90°) = −1 So it is also true for θ = 90° Is it true for all values of θ?

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Unfortunately, Sally had a track meet that day and missed the lesson.

She has her friend's notes, but they're not making much sense, and she's getting frustrated. Word problems can be quite confusing as they contain a great deal of information and sometimes we're not sure what to do with it all.

In other words, let c represent Charlie's age today.

Since Brian is twice as old as Charlie today, then let 2c represent Brian's age today.

Now that we have our variables, we can create our equation.

Since Jack is two years older than Diane and the sum of their ages is 18, the equation would be: d d 2 = 18 The next step is to solve the unknown variable, d, in the equation.

Our original equation was: (c 3) (2c 3) = 33 If c = 9 9 3 2(9) 3 = 33 15 18 = 33 33 = 33 Since the left side equals the right side, then our answers are correct; Charlie is 9 years old and Brian is 18 years old.

Solving a word problem involving age can seem challenging because of all the information presented.

## Comments Problem Solving Using Equations

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