SOLUTION: sum of 2 integers is 20. 5 times the smaller integer is 2 more than twice the larger. Find two integers...

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: sum of 2 integers is 20. 5 times the smaller integer is 2 more than twice the larger. Find two integers...      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 346632: sum of 2 integers is 20. 5 times the smaller integer is 2 more than twice the larger. Find two integers...
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A and B be the integers.
1.A%2BB=20
.
.
2.5A=2%2B2B
From eq. 1,
2A%2B2B=40
From eq. 2,
2B=5A-2
Substitute into eq. 1,
2A%2B%285A-2%29=40
7A=42
highlight%28A=6%29
Then from eq. 1,
6%2BB=20
highlight%28B=14%29