Question

The sum of three numbers is 117. The third number is 4 times the first. The second number is 9 more than the first. What are the numbers?

Answer 1

18, 27, 72

Explanation:

let the number be x

first number = x

second number = x + 9

third number = 4x

sum of numbers is 117

set up equation: x + x + 9 + 4x = 117

simplify (combine like terms): 6x = 108

solve: x = 18

so, the first number is 18, the second number is 27 and the third number is 72

Answer 2

18, 27, 72

Explanation:

Let's say the first number is x

First number: x

Second number: x + 9

Third number: 4x

The sum of the 3 numbers is 117

Write an equation: first number + second number + third number = 117

x + x + 9 + 4x = 117

Combine like terms

6x + 9 = 117

Minus 9 on both sides

6x = 108

Divide by 6 on both sides to isolate x

x = 18

Substitute each number using the given value of x

First number: 18

Second number: 27

Third number: 72

Hope this helps :)

Have a great day!