SOLUTION: The sum of 3 times a number and twice another number is 120. Twice the first number plus 4 times other number is 64. Calculate both numbers 2. The sum of 2 numbers is 64 and 3

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The sum of 3 times a number and twice another number is 120. Twice the first number plus 4 times other number is 64. Calculate both numbers 2. The sum of 2 numbers is 64 and 3      Log On


   

Question 619419: The sum of 3 times a number and twice another number is 120. Twice the first number plus 4 times other number is 64. Calculate both numbers
2. The sum of 2 numbers is 64 and 3 times the difference is 30.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

 The sum of 3 times a numberhighlight%28x%29 and twice another numberhighlight%28x%29is 120. 

Twice the first numberhighlight%28x%29plus 4 times other numberhighlight%28y%29is 64.

  3x +2y = 120

  2x +4y = 64



The sum of 2 numbers is 64 and 3 times the difference is 30.

 x + y = 64

 3x-3y = 30

 3x + 3y = 192   |multiplying 1st EQ thru by 3 to  eliminate the y variable

 3x  -3y = 30

   6x = 222

    x = 37  and y = 27