Use a Problem Solving Strategy: example 9.9

The sum of two consecutive integers is $47 .$ Find the numbers.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

The sum of two consecutive integers is $95 .$ Find the numbers.

How did it go?

Step 1. Read the problem.
Step 2. Identify what you are looking for.		two consecutive integers
Step 3. Name.		Let n = 1^st integer n + 1 = next consecutive integer
Step 4. Translate. Restate as one sentence. Translate into an equation.
Step 5. Solve the equation.
Combine like terms.
Subtract 1 from each side.
Divide each side by 2.
Substitute to get the second number.


Step 6. Check:
Step 7. Answer the question.		The two consecutive integers are 23 and 24.