SOLUTION: The sum of two integers is twenty. Five times the smaller integer is two more than twice the larger integer. Find the two integers.

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Question 183277: The sum of two integers is twenty. Five times the smaller integer is two more than twice the larger integer. Find the two integers.
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=smaller integer
And 20-x=the larger integer
Now we are told that:
5*x-2=2(20-x) get rid of parens
5x-2=40-2x add 2 and also 2x to each side
5x-2+2+2x=40+2-2x+2x collect like terms
7x=42 divide each side by 7
x=6-------------------------------smaller integer
20-x=20-6=14 larger integer


CK
5*6-2=2*14
28=28
This could also be solved using two unknowns
x=smaller
y=larger
x+y=20-------------------eq1
5x-2=2y--------------------eq2
Hope this helps---ptaylor