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5 times the greateat of three consecutive even integers is equal to twice the sum of the other two integer plus 42. What are the three integers?

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Michael C. | Patient and Qualified Math and Physics TutorPatient and Qualified Math and Physics T...
4.9 4.9 (10 lesson ratings) (10)
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let the integers be n, n+2 and n+4
 
5(n+4) = 2(n + n+2) +42
 
5n +20 = 4n +4+42
 
n = 46 -20 = 26
 
The even integers are 26, 28 and 30
Andrew M. | Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/HonorsMathematics - Algebra a Specialty / F.I....
0
Hi Owen;
 
Consecutive even integers are
separated by 2
 
x = smallest
x + 2 = middle
x + 4 = largest
 
5(x+4) = 2(x+x+2) + 42
5x + 20 = 2(2x+2) + 42
5x + 20 = 4x + 4 + 42
5x + 20 = 4x + 46
 
Can you finish solving for x to find 1st integer?
Then the next are x+2 and x+4