SOLUTION: Find two consecutive even intergers whose sum is 126.

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Question 99719: Find two consecutive even intergers whose sum is 126.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Consecutive even integers follow the form: 2x, 2x%2B2, 2x%2B4, ...., etc


So the sum of two consecutive even integers is:


%282x%29%2B%282x%2B2%29=126

4x%2B2=126 Combine like terms on the left side


4x=126-2Subtract 2 from both sides


4x=124 Combine like terms on the right side


x=%28124%29%2F%284%29 Divide both sides by 4 to isolate x



x=31 Divide

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Answer:
So our answer is x=31


Since x=31, our first number is


2%2831%29=62

So our first number is 62


and our second number is


2%2831%29%2B2=64

So our second number is 64



So our two numbers are 62 and 64



Check:


62%2B64=126

126=126 works