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The sum of two numbers is 49. The sum of the smaller and 2 times the larger is 83. Find the numbers.

What does the second portion of the question translate to? I am having a hard time determining where the variables need to go 

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Andrew M. | Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/HonorsMathematics - Algebra a Specialty / F.I....
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Hi William;
 
Let x = smaller number
Let y = larger number
 
x + y= 49
x + 2y = 83     subtract 1st equation from 2nd
-----------------
    y = 34
 
x + 34 = 49
x = 15
 
Numbers are 15 and 34
 
Make sense?