SOLUTION: find two consecutive even integers with a sum of 58

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Question 166646This question is from textbook New York Math A
: find two consecutive even integers with a sum of 58This question is from textbook New York Math A

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
"consecutive even integers" follow the pattern 2x, 2x+2, 2x+4, etc

So in this case, the equation is 2x%2B2x%2B2=58


2x%2B2x%2B2=58 Start with the given equation.


4x%2B2=58 Combine like terms on the left side.


4x=58-2 Subtract 2 from both sides.


4x=56 Combine like terms on the right side.


x=%2856%29%2F%284%29 Divide both sides by 4 to isolate x.


x=14 Reduce.


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Answer:

So the answer is x=14 which means that the first number is 2%2A14=28 and the second number is 2%2A14%2B2=30