The sum of three numbers is 109. The second number is 4 times the third. The first number is 7 more than the third. What are the numbers

The three numbers are 17, 24 and 68.

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Sum of three numbers = 109

Second number is 4 times the third

First number is 7 more than the third

2. What are the numbers?

Let's prepare and write our equation to answer this question, this way:

x = Third number

4x = Second number (4 times the third)

x + 7 = First number (7 more than the third)

x + 4x + x + 7 = 109

6x = 109 - 7

6x = 102

x = 102/6

x = 17 ⇒ 4x = 68 ⇒ x + 7 = 24

The three numbers are 17, 24 and 68.