SOLUTION: the sum of two numbers is 100. if four times the smaller number is subtracted from the larger number, the result is 15. find the two numbers

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Question 850807: the sum of two numbers is 100. if four times the smaller number is subtracted from the larger number, the result is 15. find the two numbers
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the smaller number
+100+-+n+ is the larger number
-----------------------------
+%28100+-+n+%29+-+4n+=+15+
++-5n+=+15+-+100+
+-5n+=+-85+
+n+=+17+
and
+100+-+17+=+83+
-------------------
The numbers are 17 and 83
check:
+%28100+-+n+%29+-+4n+=+15+
+83+-+4%2A17+=+15+
+83+-+68+=+15+
+83+=+15+%2B+68+
+83+=+83+
OK