85,879 views
38 votes
38 votes
The sum of three numbers is fifty-eight. The

second number is four more than the first
number and the third number is eight more
than the second number. What are the
numbers?

User Gabriel Araujo
by
3.1k points

1 Answer

21 votes
21 votes
The numbers are 14, 18, and 26.

Step-by-step explanation:

1. Model the situation.

(x) + (x + 4) + (x + 12) = 58

2. Combine like terms.

3x + 16 = 58

3. Subtract 16 from both sides.

3x = 42

4. Divide 3 from both sides.

x = 14

Now, replace x with a 14.

14 + (14 + 4) + (14 + 12) = 58

Solve.

14 + 18 + 26 = 58

58 = 58

The numbers are 14, 18, and 26.
User Jackko
by
2.7k points