Answer:
First: 32
Second: 23
Third: 92
Step-by-step explanation:
Assign a variable
let "x" be the second number
Then, write equations for the first and third numbers with "x".
x + 9 first number
x second number
4x third number
Write an equation that makes the three numbers equal to 147.
(x + 9) + (x) + (4x) = 147
Remove the brackets
x + 9 + x + 4x = 147
Combine like terms. Add numbers with the variable "x".
x + x + 4x = 6x, so rewrite the equation as:
6x + 9 = 147
Now, isolate "x". Subtract 9 from both sides.
6x = 138
Divide both sides by 6.
x = 23
Now find the first and third number using x = 23 and their equations.
First number: 32
x + 9
= 23 + 9
= 32
Third number: 92
4x
= 4(23)
= 92
Check your answer by adding all the numbers:
32 + 23 + 92 = 147
Therefore, these numbers are correct.
