Question

The sum of three numbers is 101. The second number is 4 more than two times the first number. The third number is 5 less than three times the first number. Find the three numbers.​

Answer 1

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