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

Question

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

Answer 1

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?