SOLUTION: the smaller of two numbers is 18 less than the larger number. if 5 times the larger number exceeds 4 times the smaller number by 100. find the numbers

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Question 1048794: the smaller of two numbers is 18 less than the larger number. if 5 times the larger number exceeds 4 times the smaller number by 100. find the numbers

Answer by chen.aavaz(62) About Me  (Show Source):
You can put this solution on YOUR website!
Smaller number: x
Larger number: y
Then y+=+18%2Bx
Also 5%2Ay+=+4%2Ax%2B100 so, by substituting y from the first equation, we get:
5%2A%2818%2Bx%29+=+4%2Ax%2B100
5%2Ax%2B90+=+4%2Ax%2B100
x+=+10 so larger number y = 28