SOLUTION: Find two consecutive even numbers whose sum is 36.

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Question 97310: Find two consecutive even numbers whose sum is 36.
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=1st number, x+2=2nd number


x%2B%28x%2B2%29=36 "two consecutive even numbers whose sum is 36"

2x%2B2=36 Combine like terms on the left side


2x=36-2Subtract 2 from both sides


2x=34 Combine like terms on the right side


x=%2834%29%2F%282%29 Divide both sides by 2 to isolate x



x=17 Divide

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Answer:
So our first number is x=17


That means our second number is 17%2B2=19

So our two numbers are:

17 and 19



Check:


17%2B19=36 Add up the two numbers

36=36 works