SOLUTION: the sum of two numbers is 43.if larger number is doubled and smaller number is tripled,the difference is 36.find the numbers

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: the sum of two numbers is 43.if larger number is doubled and smaller number is tripled,the difference is 36.find the numbers       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 864707: the sum of two numbers is 43.if larger number is doubled and smaller number is tripled,the difference is 36.find the numbers
Found 2 solutions by ewatrrr, richwmiller:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x and y represent the numbers larger and smaller number respectively

 x + y = 24   |multiplying thru by 3 to  eliminate the y variable by adding the EQs

2x - 3y = 36    

  5x  = 108

   x = 108/5 = 21.6  and y = 2.4   21.6+%2B+y+=+24

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x + y =43 not 24
2x - 3y = 36
x = 33, y = 10
check
66-30=36
ok