SOLUTION: The sum of two numbers is 45. if three time the larger number is increased by four times the smaller number the sum is 155. Find the numbers.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of two numbers is 45. if three time the larger number is increased by four times the smaller number the sum is 155. Find the numbers.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 585444: The sum of two numbers is 45. if three time the larger number is increased by four times the smaller number the sum is 155. Find the numbers.
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the smaller number.
Let y be the larger number.
x+y=45
3y+4x=155
x=45-y
3y+4(45-y)=155
3y+180-4y=155
-y=155-180
-y=-25
y=25 ans.
x+25=45
x=45-25
x=20 ans.
PROOF:
3*25+4*20=155
75+80=155
155=155