SOLUTION: What is five times the sum of two consecutive integers is seven more then six times the sum of the second integer?

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Question 500334: What is five times the sum of two consecutive integers is seven more then six times the sum of the second integer?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the first integer N.
The next consecutive integer is N%2B1.
Five times the sum is 5%28N%2BN%2B1%29=5%282N%2B1%29=10N%2B5
Six times the sum of the second integer? Do you mean 6%28N%2B1%29=6N%2B6
If so then,
10N%2B5=7%2B6N%2B6
10N%2B5=6N%2B13
4N=8
N=2
So the two integers are N=2 and N%2B1=3