SOLUTION: the sum of three numbers is 137. the second number is four more than two times the first number. The third number is five less than three times the first number. Find the number.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: the sum of three numbers is 137. the second number is four more than two times the first number. The third number is five less than three times the first number. Find the number.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 242108: the sum of three numbers is 137. the second number is four more than two times the first number. The third number is five less than three times the first number. Find the number.

Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
Let the first number = x
Thus, the second number is = 2x+4
And, the third number is = 3x-5
Their sum is 137.
.
So, our equation then becomes:
x%2B%282x%2B4%29%2B%283x-5%29=137
Now solve for x to determine its value. I'll let you do the algebra.
.
Remember to check your answer by pluggin the x value in the equation. Both sides must equal to each other in order for the answer to be valid.
.
Done! :)