SOLUTION: solve. The larger of two consecutive integers is 10 more than 4 times the smaller. Fine the integers. i know the answer is possibly -3,-2, but i dont know how to work the pro

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Question 363308: solve.
The larger of two consecutive integers is 10 more than 4 times the smaller. Fine the integers.
i know the answer is possibly -3,-2, but i dont know how to work the problem out to get the answers, please explain,show your work...

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The larger of two consecutive integers is 10 more than 4 times the smaller.
Find the integers.
:
The two integers, x and (x+1) which is the larger
x + 1 = 4x + 10
1 - 10 = 4x - x
-9 = 3x
x = %28-9%29%2F3
x = -3, is the smaller and -2 is the larger
:
:
Check
-3 + 1 = 4(-3) + 10
-2 = -12 + 10