SOLUTION: Three times a larger number added to 4 times a smaller number totals 24. When twice the smaller number is subtracted from twice the larger number, the result is 2. What are the two

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Three times a larger number added to 4 times a smaller number totals 24. When twice the smaller number is subtracted from twice the larger number, the result is 2. What are the two      Log On


   

Question 627324: Three times a larger number added to 4 times a smaller number totals 24. When twice the smaller number is subtracted from twice the larger number, the result is 2. What are the two numbers?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x and y represent the smaller and larger number respectively

Three times a larger number added to 4 times a smaller number totals 24. 3y%2B4x=24

When twice the smaller number is subtracted from twice the larger number, the result is 2. 2y+-+2x+=2

 3y + 4x = 24

 2y - 2x = 2    |Multiply 2EQ by 2 and add to the 1st EQ

     7y = 28

      y = 4   and x = 3  2%2A4+-+2x+=+2