SOLUTION: The difference between two integers is 5. Four times the larger is six more than six times the smaller. Find the integers.

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Question 352743: The difference between two integers is 5. Four times the larger is six more than six times the smaller. Find the integers.
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
let first integer be x
than the second one is x+5
4%28x%2B5%29=6%2B6x
4x%2B20=6%2B6x subtract 4x from each side
20=6%2B2x subtract 6 from each side
14=2x divide both sides by 2
7=x so the smaller number is 7 and the bigger number is 7+5=12