Answer:
Step-by-step explanation:
Given
Let the first number = x
Let the second number = 2x + 4
Let the third number = 3x -5
The sum of the three numbers = 101
Equation
x + 2x + 4 + 3x - 5 = 101 Combine like terms on the left
x + 2x + 3x + 4 - 5 = 101 Combine
6x - 1 = 101 Add 1 to both sides
6x = 101 + 1
6x = 102 Divide by 6
6x/6 = 102/6
x = 17
Answer
The first number = 17
The second number = 2*17 + 4 = 34 + 4 = 38
The Third number = 3*17 - 5 = 51 - 5 = 46
Check
17 + 38 + 46 = 101
