SOLUTION: Please help me with the following : Find three consecutive even integers such that 6 times the first is 16 less than four times the sum of the second and third. thank u

Algebra ->  Sequences-and-series -> SOLUTION: Please help me with the following : Find three consecutive even integers such that 6 times the first is 16 less than four times the sum of the second and third. thank u      Log On


   

Question 63000This question is from textbook An Incremental Development
: Please help me with the following :
Find three consecutive even integers such that 6 times the first is 16 less than four times the sum of the second and third.
thank u This question is from textbook An Incremental Development

Answer by 303795(602) About Me  (Show Source):
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The three consecutive integers will be x, x + 1 and x + 2.
6x + 16 = 4((x + 1) + (x + 2))
6x + 16 = 4(2x + 3)
6x + 16 = 8x + 12 Subtract 6x from each side of the equation
6x + 16 - 6x = 8x + 12 - 6x
16 = 2x + 12 Subtract 12 from each side
16 - 12 = 2x + 12 - 12
4 = 2x
so x=2
The three numbers will therefore be 2, 3 and 4