SOLUTION: One-fifth of sum of two consecutive integers is 19 less than the smaller integer. find the smaller of the two integers?

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Question 264106: One-fifth of sum of two consecutive integers is 19 less than the smaller integer. find the smaller of the two integers?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One-fifth of sum of two consecutive integers is 19 less than the smaller integer.
find the smaller of the two integers?
:
Two consecutive integers: x, (x+1)
:
"One-fifth of sum of two consecutive integers is 19 less than the smaller"
1%2F5(x + (x+1)) = x - 19
Multiply both sides by 5
2x + 1 = 5x - 95
:
1 + 95 = 5x - 2x
:
96 - 3x
x = 96%2F3
x = 32, the smaller integer
;
:
Check in original equation
1%2F5(32 + 33) = 32 - 19
1%2F5(65) = 13