SOLUTION: set up an equation and solve. find three even consecutive integers such that twice the largest is equal to two more than three times the smallest.

Question 1054039: set up an equation and solve.
find three even consecutive integers such that twice the largest is equal to two more than three times the smallest.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
let x be the first even integer, then
:
x, x+2, x+4 represent our three consecutive integers
:
we know that
:
2(x+4) = 3x + 2
:
2x+8 = 3x + 2
:
x = 6
:
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Our three consecutive even integers are
6, 8, 10
:
check our answer
:
2(10) = 3(6) + 2
:
20 = 20
:
Our answer checks
*****************************************
:

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