Use a five-step plan to solve the following word problem. Show all five steps in your response:
Doug is twice Anne's age. Doug is 34 years old. How old is Anne?
Step 1: Understand the problem:
Read the word problem carefully to understand what information is given and what is being asked for. In this case, the problem states that Doug's age is twice Anne's age, and it tells us Doug's age is 34. We need to find Anne's age.
Step 2: Identify the unknown:
Determine what is being asked for or what is unknown in the problem. In this case, we need to find Anne's age.
Step 3: Translate into an equation or inequality:
Create an equation or inequality that represents the relationship between the known and unknown quantities in the problem. Since Doug is twice Anne's age, we can set up the equation as: Doug's age = 2 * Anne's age. We also know that Doug's age is 34, so we can write the equation as: 34 = 2 * Anne's age.
Step 4: Solve the equation or inequality:
Solve the equation or inequality to find the value of the unknown quantity. In this case, we need to solve the equation 34 = 2 * Anne's age for Anne's age. To solve for Anne's age, we can divide both sides of the equation by 2 since it is being multiplied by Anne's age. This gives us: 34 / 2 = Anne's age, which simplifies to: 17 = Anne's age.
Step 5: Check the solution:
Finally, check if our solution makes sense in the context of the problem. We found that Anne's age is 17, which means Doug is indeed twice her age since 2 * 17 = 34. Therefore, our solution is valid.
In conclusion, Anne is 17 years old.
d = 2 a
d = 34
34 = 2a
34/2 = a
a = 17