The sum of the three numbers is 82. The second number is double the first. The third number is three less than the second. Find the three numbers.

**x = first number**

**2x = second number**{the second number is double the first}

**2x - 3 = third number**{the third number is 3 less than the second}

x + 2x + 2x - 3 = 82 {the sum of the three numbers is 82}

5x - 3 = 82 {combined like terms}

5x = 85 {added 3 to each side}

x = 17 {divided each side by 5}

2x = 34 {substituted 17, in for x, into 2x}

2x - 3 = 31 {substituted 17, in for x, into 2x - 3}

first number is

**17**

second number is

**34**

third number is

**31**

*- Algebra House*