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

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of the three numbers is 82. The second number is double the first. The third number is three less than the second      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 934847: The sum of the three numbers is 82. The second number is double the first. The third number is three less than the second
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
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

For more help from me, visit: www.algebrahouse.com