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Question 110517: The sum of two numbers is 38. Their difference is 12. What are the two numbers?
Answer by ptaylor(2198)   (Show Source):
You can put this solution on YOUR website!
Let x= one number
Then 38-x= the other number
Now we are told that (38-x)-x=12 get rid of parens (distributive law)
38-x-x=12 subtract 38 from both sides
38-38-x-x=12-38 collect like terms
-2x=-26 divide both sides by -2
x=13------------------------one number
38-x=38-13=25----------------------the other number
CK
13+25=38
38=38
and
25-13=12
12=12
ANOTHER WAY
Let x=one number
And y=the other
Now we are told the following:
x+y=38------------------------eq1
x-y=12------------------------eq2
Add eq1 and eq2 and we get:
2x=50 divide both sides by 2
x=25 ------------------------one number
x+y=38
25+y=38 subtract 25 from both sides
y=38-25 or 12-------------the other number
Hope this helps ----ptaylor
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