Question 208392
How would I translate and solve the following word problem into a pair of linear equations in two variables?

The sum of two numbers is 52, and their difference is 6. 
What are the numbers?
<pre><font size = 4 color = "indigo"><b>
x = one number

y = the other number

x+y = sum of the two numbers 
     (just put a + between them to get their sum)

x-y = difference of the two numbers 
     (just put a minus between them to get 
      their difference)

Translate this part of the first sentence:
</pre></font></b>
>>..The sum of two numbers is 52..<<
<pre><font size = 4 color = "indigo"><b>
                        x+y = 52

Now translate this part:
</pre></font></b>
>>..their difference is 6..<<
<pre><font size = 4 color = "indigo"><b>
                        x-y = 6

So you have the system of equations:

{{{system(x+y=52,x-y=6)}}}

Can you solve that? If not post again asking how.

Answer: x=29,  y=23

Edwin</pre>