SOLUTION: the sum of 3 numbers is 137. the 2nd number is 4 more than 2 times the 1st number. The third number is 5 less than 3 times the first number. find the 3 numbers

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: the sum of 3 numbers is 137. the 2nd number is 4 more than 2 times the 1st number. The third number is 5 less than 3 times the first number. find the 3 numbers      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 249426: the sum of 3 numbers is 137. the 2nd number is 4 more than 2 times the 1st number. The third number is 5 less than 3 times the first number. find the 3 numbers
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y+Z=137
Y=2X+4
Z=3X-5
X+2X+4+3X-5=137
6X=137-4+5
6X=138
X=138/6=23 FOR THE FIRST NUMBER.
Y=2*23+4=46=4=50 FOR THE SECOND NUMBER.
Z=3*23-5=69-5=64 FOR THE THIRD NUMBER.
PROOF:
23+50+64=137
137=137