Problem Solving Using Equations

Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal.

One of those tools is the subtraction property of equality, and it lets you subtract the same number from both sides of an equation. Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. This tutorial shows you how to take a word problem and translate it into a mathematical equation involving fractions.

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.

Finally, we can check our answer by substituting it back into our equation.

If we're correct, the left side of the equation will equal the right side of the equation. We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities.In this problem, we don't know Jack's or Diane's age.Since Jack's age is expressed in relation to Diane's age (in this problem, Jack is two years older than Diane), so then our variable will be based on Diane's age. If Jack is two years older than Diane, then Jack's age must be: d 2.You can solve these types of problems in four steps.First, we can express what we don't know as a variable, an alphabetical representation of what we're trying to solve for.Then, we can create an equation based on the information provided to us in the problem.Next, we can use algebra to solve for the unknown variable.d d 2 = 18 2d 2 = 18 2d = 16 d = 8 Therefore, Diane is 8 years old. The final step is to check our answer by substituting it into the original equation to verify that the left side of the equation equals the right side of the equation.We must substitute into Jack's equation to determine his age. d d 2 = 18 If d = 8, then: 8 8 2 = 18 18 = 18 Since the left side equals the right side, Diane must be 8 years old, and Jack must be 10 years old.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.

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