SOLUTION: find two consecutive integers such that the sum of twice the first integer and three times the second integer is 28

Question 535127: find two consecutive integers such that the sum of twice the first integer and three times the second integer is 28
Answer by lmeeks54(111) (Show Source): You can put this solution on YOUR website!
Let x = 1st integer
Let x + 1 = 2nd integer
...
Given:
2x + 3(x + 1) = 28
...
Simplify:
5x + 3 = 28
...
Subtract 3 from both sides:
5x = 25
...
x = 5
x + 1 = 6
...
Check your work:
...
2(5) + 3(6) = 28
10 + 18 = 28
28 = 28 checks...
...
x = 5, x + 1 = 6
...
cheers,
Lee
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