SOLUTION: Five times the sum of two consecutive integers is two more than three times the larger integer. find the integers.

Algebra ->  Linear-equations -> SOLUTION: Five times the sum of two consecutive integers is two more than three times the larger integer. find the integers.       Log On


   



Question 623278: Five times the sum of two consecutive integers is two more than three times the larger integer. find the integers.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Five times the sum of two consecutive integers is two more than three times the larger integer. find the integers.
.
Let x = smaller of two consecutive integers
then
x+1 = larger of two consecutive integers
.
5(x + x+1) = 2+3(x+1)
5(2x+1) = 2+(3x+3)
10x+5 = 3x+5
10x = 3x
7x = 0
x = 0
.
two integers are
0 and 1