SOLUTION: Select two variables, set up two equations and solve the problem below. The sum of two integers is 45. The larger is 3 less than three times the smaller. Find the two integers.

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Question 939401: Select two variables, set up two equations and solve the problem below. The sum of two integers is 45. The larger is 3 less than three times the smaller. Find the two integers.
How do I find and work this problem please give details each step so I can work and understand how it's done. Thank you

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Select two variables, set up two equations and solve the problem below. The sum of two integers is 45. The larger is 3 less than three times the smaller. Find the two integers.
***
let x=larger integer
let y=smaller integer
..
x+y=45 (sum of two integers is 45)
x=45-y
x=3y-3 (larger is 3 less than three times the smaller)
45-y=3y-3
4y=48
y=12
x=45-y=33
larger integer=33
smaller integer=12

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